# Equivalent Fractions Worksheet - Page 12

Equivalent Fractions Worksheet
• Page 12
111.
Can the two fractions $\frac{1}{3}$ and $\frac{3}{9}$ be called equivalent fractions?
 a. Yes b. No

#### Solution:

Fractions that represent the same amount are called equivalent fractions.

Represent 1 / 3 by using one strip and represent 3 / 9 by using three 1 / 9 strips and line up the 1 / 9 strip below the 1 / 3 strip as below.

As the fractions 1 / 3 and 3 / 9 represent the same amount, 1 / 3 and 3 / 9 are equivalent fractions.

112.
Are the fractions represented by the figures equivalent?

 a. Yes b. No

#### Solution:

The fraction represented by the first circle is 1 / 2 and the fraction represented by the second circle is 4 / 8 .

Fractions that represent same amount are called equivalent fractions.

Multiplying the numerator and the denominator of 1 / 2 by 4 gives 4 / 8 , the fractions 1 / 2 and 4 / 8 are equivalent fractions.

So, the fractions represented by the figures are equivalent.

113.
Are the pair of fractions $\frac{2}{4}$ and $\frac{1}{2}$ equivalent ?
 a. Yes b. No

#### Solution:

Fractions that represent the same amount are called equivalent fractions.

Represent 2 / 4 by using two 1 / 4 strips and represent 1 / 2 by using one 1 / 2 strip and line up one 1 / 2 strip below the two 1 / 4 strips as below.

From the above figure, 2 / 4 and 1 / 2 represent the same amount.

So, the fractions 2 / 4 and 1 / 2 are equivalent fractions.

114.
The figure shows $\frac{1}{2}$ and $\frac{1}{6}$ fraction strips. How many $\frac{1}{6}$ strips are needed to match one $\frac{1}{2}$ strip?

 a. 3 b. 2 c. 4 d. 6

#### Solution:

Three 1 / 6 fraction strips are needed to make one 1 / 2 strip.
[Six 1 / 6 strips make one whole strip, so, 3 such strips can make one 1 / 2 strip.]

The figure below will help us visualise how the three 1 / 6 strips can be arranged to make one 1 / 2 strip.

115.
Identify the equivalent fraction for the point on the number line.

 a. $\frac{4}{5}$ b. $\frac{1}{5}$ c. $\frac{2}{5}$ d. $\frac{6}{10}$

#### Solution:

From the number line, the point represented is 4 / 10.

Fractions that represent the same amount are called equivalent fractions.

4 / 10 = 4 ÷ 210 ÷ 2 = 2 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 2 / 5.

116.
Choose an equivalent fraction for the point on the number line.

 a. $\frac{3}{5}$ b. $\frac{4}{10}$ c. $\frac{4}{5}$ d. $\frac{6}{5}$

#### Solution:

From the number line, the point represented is 6 / 10.

Fractions that represent the same amount are called equivalent fractions.

6 / 10 = 6÷2 / 10÷2 = 3 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 3 / 5.

117.
Find an equivalent fraction for the point on the number line.

 a. $\frac{3}{6}$ b. $\frac{5}{7}$ c. $\frac{2}{3}$ d. $\frac{3}{5}$

#### Solution:

From the number line, the point represented is 6 / 10.

Fractions that represent the same amount are called equivalent fractions.

6 / 10 = 6÷2 / 10÷2 = 3 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 3 / 5.

118.
Find an equivalent fraction for the point marked on the number line.

 a. $\frac{4}{10}$ b. $\frac{5}{15}$ c. $\frac{4}{5}$ d. none of these

#### Solution:

From the number line, the point represented is 8 / 10.

Fractions that represent the same amount are called equivalent fractions.

8 / 10 = 8÷2 / 10÷2 = 4 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 4 / 5.

119.
Find an equivalent fraction for the point marked on the number line.

 a. $\frac{1}{3}$ b. $\frac{1}{2}$ c. $\frac{1}{15}$ d. None of these

#### Solution:

From the number line, the point represented is 5 / 10.

Fractions that represent the same amount are called equivalent fractions.

5 / 10 = 5÷5 / 10÷5 = 1 / 2
[Divide both the numerator and the denominator by the common factor 5.]

So, the fraction equivalent to the point given on the number line is 1 / 2.

120.
Find an equivalent fraction for the point marked on the number line.

 a. $\frac{1}{10}$ b. $\frac{1}{5}$ c. $\frac{1}{2}$ d. None of these

#### Solution:

From the number line, the point represented is 2 / 10.

Fractions that represent the same amount are called equivalent fractions.

2 / 10 = 2÷2 / 10÷2 = 1 / 5
[Divide both the numerator and the denominator by the common factor 2.]

So, the fraction equivalent to the point given on the number line is 1 / 5.