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CBSE Questions for Class 7 Maths Fractions And Decimals Quiz 3 - MCQExams.com
CBSE
Class 7 Maths
Fractions And Decimals
Quiz 3
Improper fraction of $$12\dfrac {1}{6}$$ is
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0%
$$\dfrac {72}{6}$$
0%
$$\dfrac {73}{6}$$
0%
$$\dfrac {108}{6}$$
0%
$$\dfrac {85}{6}$$
Explanation
$$\dfrac {WN\times D+N}{D}$$
$$\dfrac {12\times 6+1}{6}=\dfrac {72+1}{6}=\dfrac {73}{6}$$
Mixed fraction for $$\dfrac {39}{12}$$ is
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$$3\dfrac {1}{12}$$
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$$3\dfrac {2}{12}$$
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$$3\dfrac {3}{12}$$
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$$2\dfrac {14}{12}$$
Explanation
To convert an improper fraction to a mixed fraction, we divide the numerator by the denominator, then write down the whole number answer. Finally, we write down any remainder above the denominator.
So, in this case when $$39$$ is divided by $$12$$ then it leaves the remainder equal to $$3$$ and the quotient is $$3$$ as well.
$$\dfrac{{39}}{{12}} = 3\dfrac{3}{{12}}$$
So, option $$C$$ is correct.
Sum of $$0.3, 0.03$$ and $$0.003$$ is _____
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$$0.999$$
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$$0.393$$
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$$0.636$$
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$$0.333$$
Explanation
To add $$3$$ decimal numbers of different decimal values we pick the number with the highest decimal value and expand all the other numbers to the same value by adding $$0$$ after the decimal point.
$$0.300+0.030+0.003=0.333$$
So option D is the correct answer!
Product of 78.12 and 1.5 is
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117.81
0%
117.18
0%
117.32
0%
117.80
Explanation
$$78.12 \times 1.5$$
$$ = \dfrac{{7812}\times 15}{{1000}} $$
$$ = \dfrac{{117180}}{{1000}}$$
=$$117.18$$
Example for a proper fraction is ____
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$$\dfrac {28}{13}$$
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$$\dfrac {11}{23}$$
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$$\dfrac {16}{9}$$
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$$\dfrac {14}{3}$$
Explanation
A proper fraction is a fraction that is less than one, with the numerator less than the denominator.
The only fraction with the numerator less than the denominator in the given options is $$\dfrac{11}{23}.$$
So option B is the correct answer.
Example for an improper fraction is
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$$\dfrac {25}{26}$$
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$$\dfrac {12}{13}$$
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$$\dfrac {15}{14}$$
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$$\dfrac {19}{20}$$
Explanation
An improper fraction is a fraction that has a larger number on the top than on the bottom.
The number on the top of the fraction is a numerator and the number on the bottom is a denominator.
Therefore, an improper fraction has a greater numerator than the denominator.
The only option with the numerator greater than the denominator is option C
$$\dfrac{15}{14}$$
So, option C is the correct answer.
Expanded form of 78.059 is
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$$78+\dfrac {5}{10}+\dfrac {9}{100}$$
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$$70+8+0+\dfrac {5}{100}+\dfrac {9}{1000}$$
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$$70+8+\dfrac {5}{10}+\dfrac {9}{100}$$
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none of these
Explanation
The number system has places. We all know the ones tens hundredths places.
After decimal the first decimal digit from the decimal point is the tenth, the second decimal digit from the decimal point is the hundredth and the third decimal digit from the decimal point is the thousandths digit.
Read the whole set of three decimal digits as a number, and say, "tenths", "hundredths" and “thousandths.” 78.059 has 0 tenths, 5 hundredths, and 9 thousandths.
While 78.059 is the sum of $$70+8+\dfrac{0}{10} +\dfrac{5}{100} + \dfrac{9}{1000} $$.
So option B is the correct answer.
Evaluate:
$$\displaystyle 25+\frac{3}{100}+\frac{4}{1000}=$$ _________
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25.34
0%
25.304
0%
25.034
0%
25.0034
Explanation
$$5 + \dfrac { 3}{100} + \dfrac{4}{1000}$$
$$= 25 + 0.03 + 0.004$$
$$=25.034$$
The cost of 1 lit. of milk is Rs. 7.50 then the cost of 30.5 lit. of milk is
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Rs. 225.75
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Rs. 223.75
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Rs. 228.75
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none
Explanation
The cost of 1 lit. of milk is Rs. 7.50 .
The cost of 30.5 lit. of milk is
$$\displaystyle 7.50\times 30.5=Rs.228.75$$
If $$0.111$$ is approximately equal to $$\dfrac {1}{9}$$, then the approximate value of $$0.777$$ is
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$$\dfrac {5}{9}$$
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$$\dfrac {7}{9}$$
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$$\dfrac {2}{9}$$
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$$\dfrac {1}{9}$$
Explanation
We will find the value of $$0.777$$ by expressing it in terms of $$0.111.$$
$$\begin{aligned}{}0.777 &= 7 \times 0.111\\ &= 7 \times \frac{1}{9}\\ &= \frac{7}{9}\end{aligned}$$
Hence, option $$B$$ is correct.
$$143.6\div 2000= .............$$
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0.1718
0%
7.18
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0.718
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0.0718
Explanation
$$143.6\div 2000=71.8\div 1000$$
$$=0.0718$$
Which of the following is an improper fraction?
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$$\dfrac{15}{1}$$
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$$\dfrac{1}{3}$$
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$$\dfrac{2}{3}$$
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none of the above
Explanation
Since numerator > denominator only in option $$A.$$
Therefore, it is correct.
Sum of 0.5, 12.56 and 0.003 is
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13.063
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31.063
0%
12.063
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none of these
Explanation
We know that to add numbers with different decimal places we expand all the numbers to the same decimal places by expanding zeroes.
So, the sum of 0.5 ,12.56 and 0.003
is
0.500+12.560+0.003 =13.063
Hence, the answer is 13.063
So, option A is the correct answer.
Divide $$150.75\div 0.6$$
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251.25
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2512.5
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25125
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25.125
Explanation
$$150.75\div 0.6$$
$$\Rightarrow$$ $$\dfrac{150.75}{0.6}=\dfrac{150.75\times 10}{0.6\times 10}$$
$$=\dfrac{1507.5}{6}$$
$$=251.25$$
Convert $$\dfrac{13}{7}$$ into a mixed fraction.
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$$\displaystyle 1\frac{6}{7}$$
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$$\displaystyle 2\frac{3}{7}$$
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$$\displaystyle 3\frac{0}{7}$$
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$$\displaystyle 3\frac{5}{7}$$
Explanation
Divide $$13$$ by $$7$$. The quotient is $$1$$ and remainder is $$6$$.
$$\therefore \dfrac{13}{7}=1\dfrac{6}{7}$$
So, option A is correct.
Improper fraction of $$\displaystyle 12\tfrac{1}{6}$$ is
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$$\displaystyle \frac{72}{6}$$
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$$\displaystyle \frac{73}{6}$$
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$$\displaystyle \frac{108}{6}$$
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$$\displaystyle \frac{85}{6}$$
Explanation
$$\displaystyle \frac{WN \times D + N}{D}$$
$$\displaystyle \frac{12\times 6+1}{6}= \frac{72+1}{6}= \frac{73}{6}$$
Which of the following is improper fraction?
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$$\dfrac{1}{3}$$
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$$\dfrac{4}{3}$$
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$$\dfrac{3}{5}$$
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none of the above
Explanation
A fraction in which the numerator is greater than
the denominator is called an improper fraction.
$$\therefore \dfrac{4}{3}$$ is correct.
$$0.002\times 0.5=$$?
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$$0.0001$$
0%
$$0.001$$
0%
$$0.01$$
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$$0.1$$
Explanation
$$2\times 5=10$$.
Sum of decimal places $$= 4$$
$$\therefore 0.002\times 0.5=0.001$$
Which of the following is closest to $$27.8 \times 9.6$$?
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$$280$$
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$$300$$
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$$2,800$$
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$$3,000$$
Explanation
$$27.8\times 9.6=$$
Multiplying the numbers without decimals at first.
$$278$$
$$\times$$
$$96$$
____________
$$1668$$
+
$$2502$$
____________
$$26688$$
____________
$$8\times 6=48$$
$$7\times 6=42$$
$$6\times 2=12$$
$$9\times 8=72$$
$$9\times 7=63$$
$$9\times 2=18$$
Then putting decimals, we get $$266.88$$
The number is closer to $$280$$
Answer: (A) $$280$$.
$$2.75 + 0.003 + 0.158 =$$
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$$4.36$$
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$$2.911$$
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$$0.436$$
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$$2.938$$
Explanation
$$2.75=0.003+0.158=$$
Write all decimal numbers in correct order in such a way that the numbers come in correct row.
$$2.750$$
$$0.003$$
$$0.158$$
_________
$$2.911$$
_________
IV III II I
I$$\rightarrow 8+3+0=11$$ $$\{1$$ balance$$\}$$
II$$\rightarrow 1+5+0+5=11$$ $$\{1$$ balance$$\}$$
III$$\rightarrow 1+7+0+1=9$$
IV$$\rightarrow 2+0+0=2$$.
$$4.036$$ divided by $$0.04$$ gives:
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$$1.009$$
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$$10.09$$
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$$100.9$$
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None of these
Explanation
$$\dfrac { 4.036 }{ 0.04 } =\dfrac { 403.6 }{ 4 } =100.9$$
Which of the following is a proper fraction?
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$$1\dfrac {1}{3}$$
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$$\dfrac {5}{4}$$
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$$\dfrac {2}{3}$$
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None of these
Explanation
We know that, a proper fraction is a fraction where the numerator is less than the denominator.
Since numerator $$<$$ denominator in $$\dfrac 23$$, it is a proper fraction.
Hence, option C is correct.
$$247 + 2.047 + 0.247 + 2.0047 =$$?
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$$267.2963$$
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$$262.965$$
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$$229.6357$$
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None of these
Multiply: $$24\times 12.23$$
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$$123.36$$
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$$236.56$$
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$$293.52$$
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$$2935.2$$
Explanation
Multiplying and dividing by $$100$$ we get
$$24\times 12.23 = (24\times1223)\div100$$
$$=293.52$$
Which of the following is/are improper fraction(s)?
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$$\dfrac{21}{20}$$
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$$\dfrac{23}{24}$$
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$$\dfrac{14}{15}$$
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None of the above
Explanation
Here, Numerator $$>$$ denominator only in option $$A.$$
Hence, option $$A$$ is correct.
Perform following operation
$$1234.46\div8$$
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$$15430.75$$
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$$15403.075$$
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$$154.3075$$
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$$15.43075$$
Explanation
Multiplying and dividing by $$100$$ we get
$$1234.46\div 8 = (123446\div 8)\div100$$
$$=154.3075$$
Divide:
$$12.36\div12$$
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$$1.3$$
0%
$$1.03$$
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$$13$$
0%
$$0.13$$
Explanation
Multiplying and dividing by $$100$$ we get
$$12.36\div 12 = (1236\div 12)\div100$$
$$=1.03$$
Divide:
$$105.55\div 5$$
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$$21.11$$
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$$2.111$$
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$$0.211$$
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$$211.1$$
Explanation
Multiplying and dividing by $$100$$ we get
$$105.55\div 5 = (10555\div 5)\div100$$
$$=21.11$$
Evaluate: $$25.25\div2.5$$
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$$1.001$$
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$$11$$
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$$1.1$$
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$$10.1$$
Explanation
Multiplying and dividing by $$10$$ we get
$$25.25\div 2.5 = (2525\div 25)\div10$$
$$=10.1$$
Evaluate:
$$2446.83\div3.1$$
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$$244.1$$
0%
$$789.3$$
0%
$$78.93$$
0%
$$7.893$$
Explanation
Multiplying and dividing by $$100$$ we get
$$2446.83\div 3.1 = (244683\div 31)\div10$$
$$=789.3$$
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