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Fractions And Decimals - Class 7 Maths - Extra Questions

23.2÷100=x. Find 1000x



Convert the given mixed fractions into improper 
215  



Convert the given mixed fractions into improper 
212



Convert the given mixed fractions into improper
316



Convert the given mixed fractions into improper
729



Convert the given mixed fractions into improper 
6110



Convert the given mixed fractions into improper
423



Find 212 of  320 people.



 find : 2.5×0.3



18.368÷14.



Divide each of the  given numbers by 10,100,1000 and 10000:
2.1
8.64
5.01
0.0906
0.125
111.11



Solve :  0.5×0.05



Solve
(i) 1.5×0.3



Solve: 1.07×0.02



Solve: 4.3×3.4



Solve:   0.1×47.5



Solve:
10.05×1.05



Solve  : 70.01×1.1



Find:
0.2×6



Find
651.2÷4



Convert the following into a vulgar fraction:
2.¯13



Fill in the blank.
1.1×100=______



Convert the following into a vulgar fraction:
0.ˉ8



Multiply : 0.1×51.7



Simplify:9510



Convert the following into a vulgar fraction:
0.¯34



Fill in the blank.
0.345×1000=______



Fill in the blank.
5.9×1000=_____



Fill in the blank.
10.056×100=______



Fill in the blank.
5.76×10=________



What is the value when 442.36 km is divided by 2.



What is 10 times of  50.30kg. 



Convert 877 into mixed fraction.



To multiply a decimal number by 1000, we move
the decimal point in the number to the right by three places.



Represent the following mixed infinite decimal periodic fractions as common fractions:
(a+a1/2b1/2)(a+b)1(a(ab)1(a+bb)1)



Convert the following into a vulgar fraction:
0.ˉ6



2.4÷10=



Simplify:
3.24÷0.0016



Divide 0.57 by 10.



Find:
211.9×1.13



Divide 54.25 by 10.



Divide 0.004 by 10.



Divide:
0.45 by 9



Divide 0.48 by 100.



Divide:
40.32 by 9.6



Divide 0.71 by 1000.



Divide 3.8 by 1000.



Divide 74.3 by 100.



Divide 0.7 by 100.



Divide:
217.44 by 9



Divide: 319.2 by 2.28



Divide 29.5 by 1000.



Divide:
31.92 by 228



Divide:
403.2 by 96



Divide:
0.765 by 0.9



Divide:
15.68 by 20



Divide:

0.08by10



Divide:

23.4by100



Divide:

137.2by100



Divide:

32.56by10



Divide:

0.062by10



Express the following improper fractions as mixed fractions:
25/6



Express the following improper fractions as mixed fractions:
18/5



Express the following mixed fractions as improper fractions:
314



Express the following improper fractions as mixed fractions:
22/5



Express the following improper fractions as mixed fractions:
38/5



Multiply each number by (i)10,(ii)100,(iii)1000:
 0.112



Multiply each number by 10,100,1000:
0.5



Multiply:
0.568 by 6.4



Express the following mixed fractions as improper fractions:
12711



Multiply each number by (i)10,(ii)100,(iii)1000:
4.8



Multiply:
16.32 by 28



Divide:
324.76 by 1000



Divide:
4.8432 by 0.08 



Evaluate :
0.125÷25



Multiply each number by (i)10,(ii)100,(iii)1000:
16.27



Evaluate:
5.897×2.3



Multiply each number by (i)10,(ii)100,(iii)1000:
 234.8



Evaluate :
20.64÷16



Divide:
27.918 by 9



Multiply each number by (i)10,(ii)100,(iii)1000:
0.0359



Evaluate :
19.25÷25



Evaluate :
257.894÷0.169



Solve : 1356×1526



Divide the following numbers by 10,100 and 1000 ( orally):
3.45



Evaluate :
9.75÷5



For the celebration class VII bought sweets for Rs.740.25 and cold drink for Rs.70. If 35 students contributed equally what amount was contributed by each student.



Fill in the blank.
32.4×10=______



Fill in the blank.
0.369×10=________



Fill in the blank.
2.35×1000=____



Fill in the blank.
0.25×100=_____



Divide 0.043 by 10.



8.892÷19=x. Find 1000x



324.4÷100=x. Find 1000x



35.7÷10=x. Find 100x



If 0.24÷0.6=x. Find 10x



Find 1.5÷0.05=



If cost of a pen is Rs.6.25 then the cost of 14 such pens is 



Find 3.6÷0.6.



0.2÷10=x. Find 100x



Solve  6.69÷3=x. Find 100x



Solve : 946×723



2.214÷18=x. Find 1000x



Express the septenary fraction 15522626 as a denary vulgar fraction in its lowest terms.



Solve the following:
168.07×100



Solve the following:
131.1×100



Solve the following:
53.7×10



Solve the following:
36.8×10



Solve the following:
21.3×10



Solve the following:
0.08×100



Solve the following:
0.03×1000



Solve the following:
88.5÷0.15



615×518= x9. Find x.



Solve 5012×4912.



910×59×1525= x10. Find x.



Calculate 4.203×15000.



Calculate 0.035×1200.



Evaluate 2.25×4.



3.4×10= ________.



2.97×100= _______.



3.4×1000= _______.



Calculate 3.5×24.



0.46×100= _________.



0.5×10= ____________.



Calculate 6.54×50.



0.25×1000= __________.



Solve 2.1×100= ______.



Calculate 7.604×0.



14.63÷11=x. Find 100x



13.92÷12=x. Find 100x



48.3÷14=x. Find 100x



45.645÷15=x. Find 1000x



39.39÷13=x. Find 100x



Solve  2.24×100= ______.



24.6÷100=x. Find 1000x



Hitesh and Hiral goes to market to buy some items for their home. Rate of items are in kg. Answer the following question on its base. How much is the price of 4 kg Rice in rupees?
710815_cd8f79b05cdd4cef947158344512e136.jpg



620.5÷10=x. Find 100x



Represent the following mixed infinite decimal periodic fractions as common fractions:
x1/2+1x+x1/2+1:1x1/21



Divide 3.96 by 4



Convert each of the following into mixed fraction :
(1)175        (2)627        (3)1018       

 (4)9513      (5)8111        (6)8716        

(7)11312      (8)11720



Simplify 712×313



Evaluate 9111×10112



 Find the value of :
(i) (82)2(18)2
(ii)  (128)2(72)2
(iii)  197×203
(iv)  198×198102×10296
(v)   (14.5×15.3)
(vi) (8.63)2(1.37)2



Solve 45.30÷15



Multiply: 45×614



Find

(i) 0.4÷2

(ii) 0.35÷5

(iii) 2.48÷4

(iv) 65.4÷6

(v)  651.2÷4

(vi)  14.49÷7

(vii)  3.96÷4

(viii)  0.80÷5



Find
(i) 7.9÷1000
(ii) 128.9÷10



Work out the following division.
a. 0.6÷2
b. 0.625÷5
c. 17.28÷9
d. 7.2÷4



Rishi bought six school bags for Rs. 712.02. What is the cost of each bag?



solve: 
(i)614÷113
(ii) 12÷134
(iii)13×213



Multiply:
2.57 by 1.8



Find the product of 1215 & 1410



0.0364



Find the value of 
3.852÷1.8



Multiply:
1.5 by 0.9



412:118



Solve: 42.435×10=?



Convert 4117 into improper fraction:



Solve:435×237=235×177=?



Find the product :
3.762×10



6.4÷0.4



Simplify: 516314+313+4



Solve:12.87×4.2



A student in a school pays 315 as a fund. If the amount collected is 40625, find the number of students in the school.



Divide  : 312÷314



Simplify 
227÷1411×249



If in mixed fraction form 196 is equal to 3x6, then what is the value of x ?



Find the product :
19.638×10



Divide the following 
2.8÷0.7



Solve 78+512×91014.



Write these numbers in order, starting with the smallest.
0.55    611      5412%
_______ < _______ < _______



Find :
211.02×4



Find:
20.1×4



Find :
1.3×10



Find :
0.05×5



Find:
153.7×10



Find :
2.71×5



Find :
2×0.86



Find :
11.2×0.15.



Find :
1.3×3.1.



Find :
168.07×10.



Find :
0.2×316.8.



Find :
0.5×10.



Find :
156.1×100.



Find :
31.3×100.



Find :
0.08×10



Divide:

43.2by6



Divide:

60.48by12



Divide:

117.6by21



Divide:

2.575by25



Divide:

0.765by9



Find the product: 58 × 47



Divide:

6.08by8



Divide:

217.44by18



Evaluate the following:
12.08×9.3



Evaluate the following:
238.06×7.5



Evaluate the following:
3.7×4.5



Work out the following:
72.8÷0.04



Work out the following:
8.64÷3.6



Multiply the following number by 10,100 and 1000 orally:
.234



Work out the following:
0.144÷0.02



Multiply the following number by 10,100 and 1000 orally:
3.45



Work out the following:
70.756÷4



Work out the following:
2.46÷6



Evaluate the following:
0.79×32.4



Work out the following:
3.016÷8



Convert the following mixed number into improper fractions :
(i)7211
(ii)3548
(iii)13764
(iv)723



Divide the following numbers by 10,100 and 1000 ( orally):
23.01



Evaluate the following :
(i)25×37
(ii)35×89
(iii)7×123



Divide the following numbers by 10,100 and 1000 ( orally):
4.7



Multiply:
0.943 and 62



If length of one bed-cover is 2.1m, find the total length of 17 bed-covers.



Multiply:
5.6 and 8



Multiply:
38.46 and 9



Multiply:
0.0453 and 35



Multiply:
7.5 and 2.5



Multiply:
0.87 by 10



Multiply:
6.4 by 1000



Multiply:
2.948 by 100



Multiply:
5.8 by 4



Divide:
12.8 by 4



Divide:
7.8 by 100



Evaluate:
0.01×0.001



Divide:
4.32 by 1.2



Divide:
4.672 by 8



Divide:
 54.9 by 10



Multiply:
5.037 by 8



Multiply:
4.6 by 2.1



Evaluate:
0.894×87



Evaluate :
 3.204÷9



Evaluate :
27.69÷30



Evaluate :
4.4064÷4 



Divide:
7.644 by 1.4



If we multiply the fractions 12 and 13 we will get 16 .If true enter 1 else 0.



Solve the following:
0.5×10



Solve the following:
3.62×100



A motor bike covers a distance of 62.5km consuming one litre of petrol. How much distance does it cover for 10 litres of petrol? (In  km)



Solve the following:
0.9×100



Represent the following mixed infinite decimal periodic fractions as common fractions:
(2(1x2)1+33/2x2):(x21+x2)1 



Represent the following mixed infinite decimal periodic fractions as common fractions:
0.23(7)+434500.5(61)113495 



Represent the following mixed infinite decimal periodic fractions as common fractions:
(1a+1b2cab)(a+b+2c):(1a2+1b2+2ab4c2a2b2) 



Represent the following mixed infinite decimal periodic fractions as common fractions:
(6a2+5a1+a+4a+1):(3a2+3a+1)



Remove the irrationality in the denominator.
11+2+3



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle( \sqrt{\sqrt{3} + \sqrt{2}} - (\sqrt{3} - \sqrt{2})^{1/2}) ((\sqrt{3} + \sqrt{2})^{1/2} + \sqrt{\sqrt{3} - \sqrt{2}})^{-1} - \cos \frac{5\pi }{4} 



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\frac{x^{1/2} + x^{-1/2}}{1 - x} + \frac{1 - x^{-1/2}}{1 + \sqrt{x}}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \frac{2 \sqrt{b}}{\sqrt{a} + \sqrt{b}} + \left ( \frac{a^{3/2} + b^{3/2}}{\sqrt{a} + \sqrt{b}} - \frac{1}{(ab)^{-1/2}}  \right )(a - b)^{-1}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \frac{a - a^2}{a^{1/2} - a^{-1/2}} - \frac{2}{a^{3/2}} - \frac{1 - a^{-2}}{a^{1/2} + a^{-1/2}}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\frac{a \sqrt{a} + b \sqrt{b}}{(\sqrt{a} + \sqrt{b})(a - b)} + \frac{2\sqrt{b}}{\sqrt{a} + \sqrt{b}} - \frac{\sqrt{ab}}{a -b}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, x^{1/2} + x^{-1/2} + \frac{(1 - x)(1 - x^{-1/3})}{1 + \sqrt{x}}



1006.2 \div 39



Express 32.12\bar{35} in the form of \dfrac{p}{q} where p and q are integers.



Convert each of the following into mixed fraction :
(1)\frac{17}{5}        (2)\frac{62}{7}        (3)\frac{101}{8}        (4)\frac{95}{13}
(5)\frac{81}{11}        (6)\frac{87}{16}        (7)\frac{113}{12}        (8)\frac{117}{20}



Find 0.1\times 71.3



 In order to make a shirt 2\,m\,\,\,25\,cm  cloth is needed. What length of cloth is required to make 18  such shirt ?



Find: 100.01\times 0.01



Find 101.01 \times 0.01



Find 0.2\times 312.4



5.04 \div 0.8=?



Find 3.3\times 0.3



In mixed fraction form \dfrac {35}{9} is equal to 3\dfrac {y}{9}.
What is the value of y ?



Solve:
84.9 \div 30 



14.9\div 0.64.



Find : 
1) \dfrac{2}{5} \times \dfrac{1}{8}
ii) \dfrac{1}{5} \times \dfrac{3}{4}
iii) \dfrac{5}{8} \times \dfrac{8}{15}



2\dfrac {1}{2}:3\dfrac {1}{3} > 3.5:4.5
State true or false.



Draw representations to multiply :
(a)  3  and  2.6
(b)  4  and  1.3



Multiply of the following numbers by 10,\ 100 and 1000 :
(i) 3.9
(ii) 2.89
(iii) 0.0829
(iv) 40.3
(v) 0.3725



Express the following as improper fractions:
10\dfrac {3}{5}



The following fractions represent just three different numbers. Separate them in to three groups of equal fractions by changing each one to its simplest form:
\dfrac {15}{75}



Change the following fraction into its simplest form:
\dfrac {4}{25}



Multiply :
3\dfrac{1}{8}  \times 4\dfrac{10}{11}



Find the product:
3\dfrac{6}{7}\times 4\dfrac{2}{3}



Find the product:
7\dfrac{1}{2}\times 2\dfrac{4}{15}



Find the product:
4.74\times 10 



Find the product:
42.5 \times 100



Find the product:
0.0054 \times 10



Find the product:
0.45 \times 10



Find the product:
35.853 \times 100



Find the product:
12.075 \times 100



Find the product:
0.0529 \times 1000



Find the product:
28.73 \times 47



Find the product:
20.708 \times 1000



Find the product:
100 \times 0.005



Find the product:
1000 \times 0.1



Find:
13.01 \times 50.01



Divide 142.45 by 10.



Find the product:
0.0415 \times 59



Divide 3.45 by 10.



Find the area of a square plot of land whose each side measures 8\dfrac {1}{2} meters.



Divide:
16.64 by 20



Divide:
164.6 by 200



Divide:
403.80 by 30



Divide:
163.44 by 24



Multiply:
\dfrac{7}{11} by \dfrac{5}{4}



Find the product :
 
7.54 \times 10



Find the product :
 
2.397 \times 100



Find the product :
 
0.08 \times 100



Find the product :
 
6.83 \times 100



Find the product :
 
0.7 \times 10



Find the product :
 
0.83 \times 10



Find the product :
 
73.92 \times 10



Find the product :
 
84.003 \times 10



Find the product :
 
0.032 \times 10



Find the product :
 
0.076 \times 1000



Find the product :
 
6.25 \times 1000



Find the product :
 
0.03 \times 100 



Find the product: 
4.8 \times 1000



Find the product :

5.4 \times 1.6



Find the product :
 
0.182 \times 1000  



Find the product :
 
0.06 \times 1000



Find the product :
 
0.6 \times 100



Find the product :
 
6.7314 \times 1000



Find the product :

3.65 \times 19



Find the product :

7.6 \times 2.4



Find the product :

0.54 \times 0.27



Find the product :

6.032 \times 124



Find the product :

0.0146 \times 69



Find the product :

3.45 \times 6.3



Find the product :

0.854 \times 12



Find the product :

0.00125 \times 327



Find the product :

4.125 \times 86



Find the product :

36.73 \times 48



Find the product :

104.06 \times 75



Find the product :

0.623 \times 0.75



Find the product :

0.06 \times 0.38



Divide:

4.7 \quad by \quad 100



Find the product :

54.5 \times 1.76



Find the product :

1.245 \times 6.4



Find the product :

0.014 \times 0.46



Find the product :

0.568 \times 4.9



Find the product :

6.54 \times 0.09



Find the product :

3.87 \times 1.25



Find the product :

0.045 \times 2.4



Divide:

131.6 \quad by \quad 10



Divide:

0.3 \quad by \quad 100



Divide:

0.34 \quad by \quad 10



Divide:

4.38 \quad by \quad 10



Divide:

0.58 \quad by \quad 100



Multiply:
\cfrac98 by \cfrac{32}3



Multiply:
\cfrac34 by \cfrac57



Divide:

4.6 \quad by \quad 1000 



Divide:

354.16 \quad by \quad 1000 



Divide:

38.9 \quad by \quad 1000 



Divide:

1286.5 \quad by \quad 1000 



Simplify: =\dfrac{3}{20}\times  \dfrac{4}{5}



Divide:

0.8 \quad by \quad 1000 



Divide:

0.02 \quad by \quad 100



Divide:

0.768 \quad by \quad 16



Divide:
0.477 \quad by \quad 18 



Divide:

0.3322 \quad by \quad 11 



Divide:
403.8 \div 30 



Divide:
6.54 \hspace{2mm} by \hspace{2mm}12



Divide:
1.001 \quad by \quad 14 



Divide:
16.46 \div 20  



Divide:

0.175 \quad by \quad 25 



Divide:
5.52 \quad by \quad 16 



Divide:
2.13   by  15 



Find the product:
\left(3\cfrac{6}{7}\right) \times\left(4\cfrac{2}{3}\right)



Divide:

18.08 \div 400  



Find the product:
\left(4\cfrac{1}{8} \right)\times\left(2\cfrac{10}{11}\right)



Divide:

3.28 \div 0.8   



Find the product:
\left(9\cfrac{1}{2}\right) \times\left(1\cfrac{9}{19}\right)



Find the product:
\left(5\cfrac{5}{6}\right)\times\left(1\cfrac{5}{7}\right)



Divide:

156.8 \div 200 



Divide:

12.8 \div 500 



Divide:
19.2 \div 80 



Divide:

0.8085 \quad by \quad 0.35   



Divide:

148 \quad by \quad 0.074



Divide:

6.612 \quad by \quad 11.6



Divide:

21.976 \quad by \quad 1.64 



Divide:

0.288\ by\ 0.9   



Divide:

11.04 \quad by \quad 1.6



Divide:

0.076 \quad by \quad 0.19



Divide:

16.578 \quad by \quad 5.4



Divide:

25.395 by 1.5   



Divide:
0.228 by 0.38 



The total cost of 24 chairs is 9255.60. Find the cost of each chair.



8 \frac{2}{7} Is equal to the improper fraction_____. 



Write \dfrac{129}{8} as a mixed fraction.



Grip size of a tennis racquet is 11 \dfrac{9}{80} cm . Express the size as an improper fraction.



Convert the following fractions into mixed fractions:
(i) \dfrac{73}{8}
(ii) \dfrac{94}{13}



When 0.004 is divided by 0.02964, what will be the quotient?



Convert the following fractions into improper fractions :
(i) 2 \dfrac{7}{9}
(ii) 5 \dfrac{4}{11}



Find the following:
(i) 10.8 \div 4
(ii) 126.35 \div 7
(iii) 22.5 \div 1.5
(iv) 4.28 \div 0.02
(v) 3.645 \div 1.35
(vi) 0.728 \div 0.04
(vii) 13.06 \div 0.08
(viii) 58.635 \div 4.5



Multiply each of the following numbers by 10, 100 and 1000 (orally):
(i) 5.9
(ii) 3.76
(iii) 0.549



Find the following:
(i) 2.7 \times 4
(ii) 2.71 \times 5
(iii) 2.5 \times 0.3
(iv) 2.3 \times 4.35
(v) 238.06 \times 7.5
(vi) 0.79 \times 32.4
(vii) 1.07 \times 0.02
(viii) 10.05 \times 1.05



What is the cost of 27.5 m of cloth at 53.50 per metre?



What will be the total length of cloth required to make 5 shirts, if 2.15 m of cloth is needed for each shirt?



The cost of a fountain pen is Rs 13.25. Find the cost of 8 such pens.



Find the area of a rectangle whose length is 5.7 \ cm and breadth is 3.5 \ cm.



If Rs. 242.46 are to be distributed among 6 children equally, find the share of each.



83 note-books are sold at Rs 15.25 each. Find the total money (in rupees) obtained by selling these note-books.



The cost of one metre cloth is Rs. 38.50. Find the cost of 3.6 m cloth.



The length of an iron rod is 10.32 m. The rod is divided into 4 pieces of equal lengths. Find the length of each piece.



The cost of 25 identical articles is Rs 218.25. Find the cost of one article



If the product of two decimal numbers is 38.745 and one of the numbers is 2.7, find the other.



Change the following mixed fractions to improper fractions:

(i) 2\frac { 1 }{ 5 }

(ii) 3\frac { 1 }{ 4 }

(iii) 7\frac { 1 }{ 8 }

(iv) 2\frac { 1 }{ 11 }



Express the following improper fractions as mixed fractions:
7/4



Express the following mixed fractions as improper fractions:
2 \dfrac{5}{48}



Express the following mixed fractions as improper fractions: 
2  \dfrac{4}{9}



Express the following mixed fractions as improper fractions:
7 \dfrac{5}{13}



Express the following as improper fractions:
a) 7\dfrac{3}{4}  b) 5\dfrac{6}{7}   c) 2\dfrac{5}{6}  d) 10\dfrac{5}{3} e) 9\dfrac{3}{7} f)8\dfrac{4}{9}



Evaluate :
0.14616 \div 72



Evaluate :
0.6227 \div 1300



Express the following as mixed fraction:

a) \displaystyle \frac{20}{3} b) \displaystyle \frac{11}{5}  c) \displaystyle \frac{17}{7}  d) \displaystyle \frac{28}{5} e) \displaystyle \frac{19}{6} f) \displaystyle \frac{35}{9}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\frac{2b + a - \frac{4a^2 - b^2}{a}}{b^3 + 2ab^2 - 3a^2b} \cdot \frac{a^3b - 2a^2b^2 + ab^3}{a^2 - b^2} 



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\left ( \frac{1}{a - \sqrt{2}} - \frac{a^2 + 4}{a^3 - \sqrt{8}} \right ) : \left ( \frac{a}{\sqrt{2}} + 1 + \frac{\sqrt{2}}{a} \right )^{-1} 



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\frac{(5 \sqrt{3} + \sqrt{50})\, (5 - \sqrt{24})}{\sqrt{75} - 5 \sqrt{2}} 



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\left ( \frac{1}{3} \right )^{-10}\, \cdot 27^{-3} + 0.2^{-4} \cdot 25^{-2} + (64^{-1/9})^{-3}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \frac{\sqrt{x} + 1}{1 + \sqrt{x} + x} : \frac{1}{x^2 - \sqrt{x}}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \left ( \frac{1}{m - \sqrt{mn}} + \frac{1}{m + \sqrt{mn}} \right )\cdot  \frac{m^3 - n^3}{m^2 + mn + n^2}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \left ( \frac{a^{1/2} + 2}{a + 2a^{1/2} + 1 } - \frac{a^{1/2} - 2}{a - 1} \right ) \cdot \frac{a^{1/2} + 1}{a^{1/2}}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \frac{a -b}{a + b + 2\sqrt{ab}} : \frac{a^{-1/2} - b^{-1/2}}{a^{-1/2} + b^{-1/2}}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \frac{b -x}{\sqrt{b} - \sqrt{x}} - \frac{b^{3/2} - x^{3/2}}{b - x}



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\,(x + \sqrt{x^2 - 1})^2 + (x + \sqrt{x^2 - 1})^{-2} + 2 (1 -2x^2)



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\,\left ( \frac{x^{1/2} + y^{1/2}}{x^{1/2} - y^{1/2}} - \frac{x^{1/2} - y^{1/2}}{x^{1/2} + y^{1/2}}  \right ) (y^{-1/2} - x^{-1/2})



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \left ( \frac{3}{\sqrt{1 + a}} + \sqrt{1 -a} \right ) : \left ( \frac{3}{\sqrt{1 - a^2}} + 1 \right )



A flower garden is 22.50 m long. Sheela wants to make a border along one side using bricks that are 0.25 m long. How many bricks will be needed?



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \left ( \frac{\sqrt{a}}{2} - \frac{1}{2 \sqrt{a}} \right )^2 \left ( \frac{\sqrt{a} - 1}{\sqrt{a} + 1} - \frac{\sqrt{a} + 1}{\sqrt{a} - 1}  \right )



Represent the following mixed infinite decimal periodic fractions as common fractions:
\displaystyle\, \left ( \frac{P^{3/2} + q^{3/2}}{p - q} - \frac{p - q}{P^{1/2} + q^{1/2}} \right )\left ( \sqrt{pq} \frac{\sqrt{p} + \sqrt{q}}{p - q} \right )^{-1}



Class 7 Maths Extra Questions