Fractions Test

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Fractions Test - 20

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Weekly Quiz Competition

Question 1
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Write the fraction in which
(i) numerator $$= 5 $$ and denominator $$= 13$$
(ii) denominator $$= 23$$ and numerator $$ = 17 $$

A
$$(i)\dfrac{23}{17},(ii)\dfrac{5}{13}$$

B
$$(i)\dfrac{5}{13},(ii)\dfrac{17}{23}$$

C
$$(i)\dfrac{17}{23},(ii)\dfrac{5}{13}$$

D
$$(i)\dfrac{13}{5},(ii)\dfrac{23}{17}$$

Solution

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 $$\dfrac{17}{23}$$.
Question 2
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Multiple Questions :
Which of the following fractions is the smallest?

A
$$\dfrac{11}{7}$$

B
$$\dfrac{11}{9}$$

C
$$\dfrac{11}{10}$$

D
$$\dfrac{11}{6}$$

Solution

$$\dfrac{11}{10}$$ $$\left(c\right)$$, as it's denominator is the largest
Question 3
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Multiple choice.
$$\dfrac{1}{7} + \dfrac{4}{14}$$ is equal to

A
$$\dfrac{5}{14}$$

B
$$\dfrac{5}{7}$$

C
$$\dfrac{3}{14}$$

D
$$\dfrac{3}{7}$$

Solution

$$\dfrac{1}{7} + \dfrac{4}{14}$$
$$\left(L.C.M. of \,7 \, and\, 14\, is\, 14\right)$$

$$\Rightarrow \dfrac{\left(1 \times 2\right) + \left(4 \times 1\right)}{14} = \dfrac{2 + 4}{14} = \dfrac{6}{14} = \dfrac{3}{7}$$ $$\left(d\right)$$
Question 4
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Multiple Choice.
Which of the following fractions is not in the lowest form ?

A
$$\dfrac{27}{28} $$

B
$$\dfrac{13}{33} $$

C
$$\dfrac{39}{87} $$

D
$$\dfrac{14}{9} $$

Solution

The lowest form of this can be written as
$$\dfrac{39}{87} = \dfrac{13}{29} $$
Question 5
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Multiple choice.
$$\dfrac{7}{9} - \dfrac{5}{18} $$ is equal to

A
$$\dfrac{2}{18}$$

B
$$\dfrac{2}{9}$$

C
$$\dfrac{1}{2}$$

D
$$\dfrac{11}{18}$$

Solution

$$\dfrac{7}{9} - \dfrac{5}{18}$$ $$\left(L.C.M. \, of \, of \,9\, and \, 18\, is 18\right)$$

$$\Rightarrow \dfrac{\left(7 \times 2\right) - \left(5 \times 1\right)}{18} = \dfrac{14 - 5}{18} = \dfrac{9}{18} = \dfrac{1}{2}$$ $$\left(c\right)$$
Question 6
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$$\frac{1}{5} + \frac{4}{5}$$ equal to :

A
$$\frac{4}{5}$$

B
$$\frac{1}{5}$$

C
$$\frac{5}{4}$$

D
$$1$$

Solution
Question 7
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In the given number line, what fraction does the dot represent?

A
$$\dfrac{1}{2}$$

B
$$\dfrac{3}{2}$$

C
$$\dfrac{5}{2}$$

D
$$\dfrac{7}{2}$$

Solution

The dot lies exactly midway between $$0$$ and $$1,$$ and divides the number line region into two equal parts. Hence, the fraction is $$\dfrac 12$$
Question 8
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In given number line, what number is at $$A$$?

A
$$\dfrac{1}{4}$$

B
$$\dfrac{3}{4}$$

C
$$\dfrac{5}{4}$$

D
$$\dfrac{7}{4}$$

Solution

The number is $$\dfrac{1}{4}$$
Question 9
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On the given number line letter P represents which of the following fraction ?

A
$$\dfrac{1}{4}$$

B
$$\dfrac{2}{4}$$

C
$$\dfrac{3}{4}$$

D
$$\dfrac{4}{4}$$

Solution

It represents $$\dfrac{3}{4}$$
Question 10
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Which of the following number line has maximum number of marked fractions?

A

B

C

D
None of these

Solution

Option C has 8 parts