﻿ Equivalent Fractions Worksheet - Page 13 | Problems & Solutions

Equivalent Fractions Worksheet - Page 13

Equivalent Fractions Worksheet
• Page 13
121.
Which fraction is equivalent to 1?
 a. $\frac{1}{5}$ b. $1\frac{2}{5}$ c. $\frac{1}{7}$ d. $\frac{5}{5}$

Solution:

Fractions that represent same amount are called Equivalent fractions.

From the choices, 5 / 5 = 5÷55 ÷ 5=1.

So, the fraction 5 / 5 is equivalent to 1.

122.
Choose the figures which represent the equivalent fractions.

 a. Figures 3 and 4 b. Figures 2 and 4 c. Figures 1 and 3 d. Figures 1 and 2

Solution:

The fraction that represents the shaded part of figure 1 is 3 / 4 .

The fraction that represents the shaded part of figure 2 is 2 / 4 .

The fraction that represents the shaded part of figure 3 is 3 / 8 .

The fraction that represents the shaded part of figure 4 is 3 / 8 .

So, the fractions given by the figures 3 and 4 are equivalent.

123.
Are the fractions represented by the figures equivalent?

 a. No b. Yes

Solution:

The total number of parts in the 1st figure is 8 and the shaded parts in it are 4.

The fraction that represents the shaded part in the 1st figure is 4 / 8.

The total number of parts in the 2nd figure is 8 and the shaded parts in it are 6.

The fraction that represents the shaded part in the 2nd figure is 6 / 8 .

So, the fractions given by the two figures are not equivalent.

124.
If the fractions $\frac{3}{5}$ and $\frac{12}{?}$ are equivalent fractions, find the missing value.
 a. 23 b. 22 c. 20 d. 19

Solution:

The two given fractions are equivalent.

So, the numerator and the denominator of the first fraction are multiplied or divided by a common number, to give the second fraction.

The numerator of the second fraction is obtained by multiplying the numerator of the first fraction by 4, i.e., 3 × 4 = 12.

So, the denominator of the first fraction should also be multiplied by the same number, 4.

The denominator of the second fraction = 5 × 4 = 20.

So, the missing value is 20.

125.
Are the fractions $\frac{5}{35}$ and $\frac{3}{21}$ equivalent?
 a. Yes b. No

Solution:

Divide the numerator and denominator of 5 / 35 by 5. We get 1 / 7 .

Divide the numerator and denominator of 3 / 21 by 3. We get 1 / 7 .

Both 5 / 35 and 3 / 21 result in the same lowest term when simplified.

So, the two fractions are equivalent fractions.

126.
Find the missing value in $\frac{2}{14}$ = $\frac{?}{7}$ .
 a. 3 b. 4 c. 1 d. 2

Solution:

2 / 14 = ? / 7
[Given expression.]

It is given that these two fractions are equivalent.

So, the numerator and the denominator of the first fraction are multiplied or divided by a common number, to give the resultant fraction.

7 = 142
The denominator of the resultant fraction is obtained when you divide the denominator of the first fraction by 7.

So, the numerator of the first fraction should also be divided by the same number, 2.

The numerator of the resultant fraction = 2 / 2 = 1.

So, the missing value is 1.

127.
Say whether the fractions represented by the figures are equivalent or not.

 a. Yes b. No

Solution:

The total number of parts in the first figure is 4 and 2 of them are shaded.

So, the fraction represented by this figure is 2 / 4 .

The total number of parts in the second figure is 4 and the shaded parts in it are 2.

So, the fraction represented by this figure is 2 / 4 .

So, the fractions represented by the two figures are equivalent.

128.
Which of the following is an equivalent to $\frac{15}{20}$?
 a. $\frac{4}{3}$ b. $\frac{1}{3}$ c. $\frac{3}{4}$ d. $\frac{1}{4}$

Solution:

15 / 20
[Given fraction.]

= 3 / 4
[Divide 15 and 20 by their common factor 5.]

129.
Which of the following fractions is equivalent to $\frac{1}{3}$?
 a. $\frac{3}{9}$ b. $\frac{4}{9}$ c. $\frac{2}{9}$ d. $\frac{5}{9}$

Solution:

13
[Given fraction.]

An equivalent of a fraction is obtained, by multiplying or dividing the numerator and the denominator of a given fraction, by a common number.

Multiply the numerator and the denominator of the fraction by 1, 2, 3, . . .

1 / 3 = 2 / 6 = 3 / 9 = 4 / 12 = . . .

So, 1 / 3 = 3 / 9 .

130.
Are the fractions represented by the figures equivalent?

 a. Yes b. No

Solution:

The fraction represented by the figure 1 is 2 / 4 = 1 / 2 .

The fraction represented by the figure 2 is 4 / 8 = 1 / 2 .

So, the two fractions represented by figure 1 and figure 2 are equivalent.