Fractions Test

Result

Fractions Test - 21

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Weekly Quiz Competition

Question 1
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Which of the following fraction is located at the point $$A$$ on the number line?

A
$$\dfrac{1}{8}$$

B
$$\dfrac{3}{8}$$

C
$$\dfrac{5}{8}$$

D
$$\dfrac{7}{8}$$

Solution

$$A=$$ $$\dfrac{3}{8}$$
Question 2
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On the basis of given number line, the reasonable value for $$B$$ is ____.

A
$$\dfrac{1}{6}$$

B
$$\dfrac{3}{6}$$

C
$$\dfrac{5}{6}$$

D
None of these

Solution

$$B=$$ $$\dfrac{1}{6}$$
Question 3
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Which of the following number line is corresponds to the fraction represented by the shaded portion?

A

B

C

D
None of these

Solution

$$2$$ out of $$4$$ is shaded
$$\therefore\dfrac{2}{4}$$
Question 4
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Identify the number represented by the given number line.

A
$$\dfrac{5}{7}$$

B
$$\dfrac{5}{6}$$

C
$$-\dfrac{1}{6}$$

D
$$\dfrac{1}{6}$$

Solution

the fraction is $$\dfrac{1}{6}$$
Question 5
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Which of the following number line is corresponds to the fraction represented by the shaded portion?

A

B

C

D
None of these

Solution

$$4 $$ out of $$8$$ is shaded
$$\therefore \dfrac{4}{8}$$
Question 6
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Use the number line below to determine which fraction belongs in the box.

A
$$\dfrac{3}{5}$$

B
$$\dfrac{13}{5}$$

C
$$\dfrac{3}{25}$$

D
$$\dfrac{1}{2}$$

Solution

the number is $$\dfrac{1}{2}$$
Question 7
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$$\displaystyle \frac {5}{8}\, -\, \displaystyle \frac {2}{8}\, =$$ ...........

A

B

C

D

Solution

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
Question 8
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Example for an improper fraction is

A
$$\displaystyle \frac {25}{26}$$

B
$$\displaystyle \frac {12}{13}$$

C
$$\displaystyle \frac {15}{14}$$

D
$$\displaystyle \frac {19}{20}$$

Solution

Improper fraction is a fraction in which the numerator is greater than the denominator.

Hence, $$\dfrac {15}{14}$$ is an improper fraction.
Question 9
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The difference between the greatest and least numbers of $$\displaystyle {\frac{5}{9},\, \frac{1}{9},\, \frac{11}{9}}$$ is

A
$$\displaystyle \frac{2}{9}$$

B
$$\displaystyle \frac{4}{9}$$

C
$$\displaystyle \frac{10}{9}$$

D
$$\displaystyle \frac{2}{3}$$

Solution

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 $$\dfrac {10}{9}$$.
Question 10
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$$2 - \displaystyle \frac{11}{39} + \frac{5}{26}$$ = ..........

A
$$\displaystyle \frac{149}{39}$$

B
$$1 + \displaystyle \frac{71}{78}$$

C
$$\displaystyle \frac{149}{76}$$

D
$$\displaystyle \frac{149}{98}$$

Solution

$$\displaystyle \frac{2}{1} - \frac{11}{39} + \frac{5}{26}$$
$$= \displaystyle \frac{156 - 22 + 15}{78} = \frac{149}{78} == 1 + \frac{71}{78}$$