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CBSE Questions for Class 6 Maths Fractions Quiz 5 - MCQExams.com
CBSE
Class 6 Maths
Fractions
Quiz 5
The improper fraction is :
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$$\dfrac { 12 }{ 15 } $$
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$$\dfrac { 13 }{ 17 } $$
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$$\dfrac { 16 }{ 21 } $$
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$$\dfrac { 25 }{ 11 } $$
Explanation
A fraction in which the numerator is greater than the denominator is an improper fraction.
$$(a)\dfrac{12}{15}:$$ Here $$12<15\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.
$$(b)\dfrac{13}{17}:$$ Here $$13<17\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.
$$(c)\dfrac{16}{21}:$$ Here $$16<21\Rightarrow$$Numerator $$<$$ Denominator.Hence it is not an improper fraction.
$$(d)\dfrac{25}{11}:$$ Here $$25>11\Rightarrow$$Numerator $$>$$ Denominator.Hence it is an improper fraction.
Simplify:
$$\dfrac 1{-12}+\dfrac{2}{15}$$
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$$\dfrac1{20}$$
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$$\dfrac{-1}{20}$$
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$$\dfrac1{2}$$
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none of these
Explanation
$$\dfrac{1}{-12} + \dfrac{2}{15}=\dfrac{-1}{12} + \dfrac{2}{15} = \dfrac{-5+2\times 4}{60} = \dfrac{-5+8}{60} = \dfrac{3}{60} = \dfrac{1}{20}$$
Which of the following statements is correct?
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$$3/4 < 3/5$$
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$$3/4 > 3/5$$
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$$3/4 \,and \,3/5$$
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cannot be compared
Explanation
Between the two fractions having the same numerator, the one with the smaller denominator is the greater factor.
Hence, $$3 / 4 > 3 / 5$$
Option (b) is correct answer
Write the fraction in which
(i) numerator $$= 5 $$ and denominator $$= 13$$
(ii) denominator $$= 23$$ and numerator $$ = 17 $$
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$$(i)\dfrac{23}{17},(ii)\dfrac{5}{13}$$
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$$(i)\dfrac{5}{13},(ii)\dfrac{17}{23}$$
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$$(i)\dfrac{17}{23},(ii)\dfrac{5}{13}$$
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$$(i)\dfrac{13}{5},(ii)\dfrac{23}{17}$$
Explanation
We know that a fraction represents a part of a whole. Its general form is $$\dfrac{a}{b}$$, where $$a$$ is called the numerator and $$b$$ is called the denominator of the fraction.
$$(i)$$ Given that the numerator is $$5$$ and denominator is $$13$$.
Hence, the fraction will be $$\dfrac{5}{13}$$.
$$(ii)$$ Given that the numerator is $$17$$ and denominator is $$23$$.
Hence, the fraction will be $$\dfrac{17}{23}$$.
State whether the following statements are true $$\left(T\right)$$ or false $$\left(F\right)$$:
Every fraction can be represented by a point on a number line.
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True
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False
Explanation
True.
Every fraction can be represented by a point on a number line.
Multiple Questions :
Which of the following fractions is the smallest?
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$$\dfrac{11}{7}$$
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$$\dfrac{11}{9}$$
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$$\dfrac{11}{10}$$
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$$\dfrac{11}{6}$$
Explanation
$$\dfrac{11}{10}$$ $$\left(c\right)$$, as it's denominator is the largest
Multiple choice.
$$\dfrac{1}{7} + \dfrac{4}{14}$$ is equal to
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$$\dfrac{5}{14}$$
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$$\dfrac{5}{7}$$
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$$\dfrac{3}{14}$$
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$$\dfrac{3}{7}$$
Explanation
$$\dfrac{1}{7} + \dfrac{4}{14}$$
$$\left(L.C.M. of \,7 \, and\, 14\, is\, 14\right)$$
$$\Rightarrow \dfrac{\left(1 \times 2\right) + \left(4 \times 1\right)}{14} = \dfrac{2 + 4}{14} = \dfrac{6}{14} = \dfrac{3}{7}$$ $$\left(d\right)$$
Multiple Choice.
Which of the following fractions is not in the lowest form ?
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$$\dfrac{27}{28} $$
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$$\dfrac{13}{33} $$
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$$\dfrac{39}{87} $$
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$$\dfrac{14}{9} $$
Explanation
The lowest form of this can be written as
$$\dfrac{39}{87} = \dfrac{13}{29} $$
Multiple choice.
$$\dfrac{7}{9} - \dfrac{5}{18} $$ is equal to
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$$\dfrac{2}{18}$$
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$$\dfrac{2}{9}$$
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$$\dfrac{1}{2}$$
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$$\dfrac{11}{18}$$
Explanation
$$\dfrac{7}{9} - \dfrac{5}{18}$$ $$\left(L.C.M. \, of \, of \,9\, and \, 18\, is 18\right)$$
$$\Rightarrow \dfrac{\left(7 \times 2\right) - \left(5 \times 1\right)}{18} = \dfrac{14 - 5}{18} = \dfrac{9}{18} = \dfrac{1}{2}$$ $$\left(c\right)$$
$$\frac{1}{5} + \frac{4}{5}$$ equal to :
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$$\frac{4}{5}$$
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$$\frac{1}{5}$$
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$$\frac{5}{4}$$
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$$1$$
In the given number line, what fraction does the dot represent?
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$$\dfrac{1}{2}$$
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$$\dfrac{3}{2}$$
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$$\dfrac{5}{2}$$
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$$\dfrac{7}{2}$$
Explanation
The dot lies exactly midway between $$0$$ and $$1,$$ and divides the number line region into two equal parts. Hence, the fraction is $$\dfrac 12$$
In given number line, what number is at $$A$$?
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$$\dfrac{1}{4}$$
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$$\dfrac{3}{4}$$
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$$\dfrac{5}{4}$$
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$$\dfrac{7}{4}$$
Explanation
The number is $$\dfrac{1}{4}$$
Which of the following number line has maximum number of marked fractions?
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None of these
Explanation
Option C has 8 parts
On the given number line letter P represents which of the following fraction ?
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$$\dfrac{1}{4}$$
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$$\dfrac{2}{4}$$
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$$\dfrac{3}{4}$$
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$$\dfrac{4}{4}$$
Explanation
It represents $$\dfrac{3}{4}$$
Observe the given number line and hence answer the following.
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$$T$$ represents the fractions $$\dfrac{1}{3}$$
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$$T$$ represents the fractions $$\dfrac{2}{3}$$
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$$Q$$ represents the fractions $$\dfrac{1}{3}$$
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$$Q$$ represents the fractions $$\dfrac{2}{3}$$
Explanation
T is $$\cfrac{1}{3}$$
Q is $$\cfrac{2}{3}$$
On the basis of given number line, the reasonable value for $$B$$ is ____.
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$$\dfrac{1}{6}$$
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$$\dfrac{3}{6}$$
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$$\dfrac{5}{6}$$
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None of these
Explanation
$$B=$$ $$\dfrac{1}{6}$$
Which of the following number line is corresponds to the fraction represented by the shaded portion?
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None of these
Explanation
$$2$$ out of $$4$$ is shaded
$$\therefore\dfrac{2}{4}$$
Identify the number represented by the given number line.
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$$\dfrac{5}{7}$$
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$$\dfrac{5}{6}$$
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$$-\dfrac{1}{6}$$
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$$\dfrac{1}{6}$$
Explanation
the fraction is $$\dfrac{1}{6}$$
Dot on the given number line represents the fraction $$\dfrac{17}{38}$$.
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True
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False
Explanation
the number is $$\dfrac{3}{2}$$
Which of the following number line is corresponds to the fraction represented by the shaded portion?
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0%
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None of these
Explanation
$$4 $$ out of $$8$$ is shaded
$$\therefore \dfrac{4}{8}$$
The given number line represents the fraction $$\dfrac{7}{6}$$.
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True
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False
Explanation
the number
is $$\dfrac{7}{6}$$
Which of the following is a proper fraction ?
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All the above
Explanation
Fraction is proper if the
denominator is
greater than the
numerator.
Fraction is improper if the
numerator is greater than or equal to
the
denominator.
fig A = $$\cfrac{4}{8}$$ = proper fraction
fig B = $$\cfrac{6}{9}$$ = proper fraction
fig C = $$\cfrac{1}{4}$$ = proper fraction
Example for a proper fraction is
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$$\displaystyle \frac {28}{13}$$
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$$\displaystyle \frac {11}{23}$$
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$$\displaystyle \frac {16}{9}$$
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$$\displaystyle \frac {14}{3}$$
Explanation
Proper fraction is a fraction in which the numerator is less than the denominator, for example $$\dfrac {11}{23}$$.
Hence,
$$\dfrac {11}{23}$$
is a proper fraction.
$$\displaystyle \frac {5}{8}\, -\, \displaystyle \frac {2}{8}\, =$$ ...........
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Explanation
Let us first consider the given subtraction of the fractions as follows:
$$\dfrac { 5}{ 8 } -\dfrac { 2 }{ 8 }=\dfrac { 3 }{ 8 }$$
The fraction
$$\dfrac { 3 }{ 8 }$$ means that we need to determine that circular object which is divided in $$8$$ equal triangles and $$3$$ triangles should be shaded amongst them.
Hence, the circular object with the fraction
$$\dfrac { 3 }{ 8 }$$ is shown in the figure
Which of the following is not an improper
fraction?
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$$\cfrac {4}{3}$$
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$$\cfrac {3}{2}$$
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$$\cfrac {5}{3}$$
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$$\cfrac {7}{11}$$
Explanation
Fractions
that are greater than $$0$$ but less than $$1$$ are called
proper fractions
.
In
proper fractions
, the numerator is less than the denominator.
When a
fraction
has a numerator that is greater than or equal to the denominator, then the
fraction
is an
improper fraction
.
An
improper fraction
is always $$1$$ or greater than $$1$$.
Now looking at options
$$\dfrac{4}{3}=1.33 > 1$$
$$\dfrac{3}{2}= 1.5 > 1$$
$$\dfrac{5}{3}= 1.66 >1$$
$$\dfrac{7}{11}= 0.63 < 1$$
So
$$\dfrac{7}{11}$$ is Not a Improper fraction.
So option $$D$$ is correct.
$$\displaystyle 4\frac{7}{11}$$ = $$\displaystyle \frac{?}{11}$$
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$$44$$
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$$7$$
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$$51$$
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$$28$$
Explanation
$$\displaystyle 4 \frac{7}{11} = \frac{4 \times 11 + 7}{11} = \frac{51}{11}$$
A fraction of the group of marbles below is shaded.
Which figure below is shaded to represent a fraction with the same value?
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Explanation
In the given set of marbles, there are a total of $$8$$ marbles and $$6$$ marbles are shaded amongst them. Therefore, the ratio of shaded
marbles
to the total number of
marbles
is:
$$\dfrac {Shaded}{Total}=\dfrac { 6 }{ 8 } =\dfrac { 3 }{ 4 }$$
(a)
In the given set of squares, there are a total of $$6$$
squares
and $$1$$
squares
are shaded amongst them. Therefore, the ratio of shaded
squares
to the total number of
squares
is:
$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 6 }$$
Hence, the fraction $$\dfrac {1}{6}$$ is not same as the given fraction
$$\dfrac {3}{4}$$
(b)
In the given set of squares, there are a total of $$6$$
squares
and $$2$$
squares
are shaded amongst them. Therefore, the ratio of shaded
squares
to the total number of
squares
is:
$$\dfrac {Shaded}{Total}=\dfrac { 2 }{ 6 }=\dfrac {1}{3}$$
Hence, the fraction $$\dfrac {1}{3}$$ is not same as the given fraction
$$\dfrac {3}{4}$$
(c)
In the given set of rectangles, there are a total of $$4$$
rectangles
and $$2$$
rectangles
are shaded amongst them. Therefore, the ratio of shaded
rectangles
to the total number of
rectangles
is:
$$\dfrac {Shaded}{Total}=\dfrac { 2 }{ 4 }=\dfrac {1}{2}$$
Hence, the fraction $$\dfrac {1}{2}$$ is not same as the given fraction
$$\dfrac {3}{4}$$
(d)
In the given set of rectangles, there are a total of $$4$$
rectangles
and $$3$$
rectangles
are shaded amongst them. Therefore, the ratio of shaded
rectangles
to the total number of
rectangles
is:
$$\dfrac {Shaded}{Total}=\dfrac { 3 }{ 4 }$$
Hence, the fraction $$\dfrac {3}{4}$$ is same as the given fraction
$$\dfrac {3}{4}$$.
The difference between the greatest
and least numbers of $$\displaystyle {\frac{5}{9},\, \frac{1}{9},\, \frac{11}{9}}$$ is
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$$\displaystyle \frac{2}{9}$$
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$$\displaystyle \frac{4}{9}$$
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$$\displaystyle \frac{10}{9}$$
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$$\displaystyle \frac{2}{3}$$
Explanation
Amongst the given fractions $$\dfrac {5}{9},\dfrac {1}{9}$$ and
$$\dfrac {11}{9}$$, the smallest is
$$\dfrac {1}{9}$$ and the largest is
$$\dfrac {11}{9}$$.
Now, consider the subtraction of the greatest and least fraction as follows:
$$\dfrac { 11 }{ 9 } -\dfrac { 1 }{ 9 } =\dfrac { 10 }{ 9 }$$
Hence, the
difference between the greatest and least numbers is
$$\dfrac {10}{9}$$.
$$2 - \displaystyle \frac{11}{39} + \frac{5}{26}$$ = ..........
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$$\displaystyle \frac{149}{39}$$
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$$1 + \displaystyle \frac{71}{78}$$
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$$\displaystyle \frac{149}{76}$$
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$$\displaystyle \frac{149}{98}$$
Explanation
$$\displaystyle \frac{2}{1} - \frac{11}{39} + \frac{5}{26}$$
$$= \displaystyle \frac{156 - 22 + 15}{78} = \frac{149}{78} == 1 + \frac{71}{78}$$
Example of improper fraction is ________
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$$\displaystyle \frac{2}{3}$$
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$$\displaystyle \frac{1}{2}$$
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$$\displaystyle \frac{23}{22}$$
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$$\displaystyle \frac{11}{15}$$
Explanation
When the numerator is greater than the denominator, it is called an improper fraction.
So only $$\dfrac{23}{22}$$ is an improper fraction.
Hence, the answer is $$\dfrac{23}{22}$$.
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