Equivalent Fractions Worksheet

**Page 11**

101.

Choose the number sentence that is true about the figure shown.

a. | $\frac{1}{2}$ > $\frac{2}{4}$ | ||

b. | $\frac{1}{2}$ = $\frac{2}{4}$ | ||

c. | $\frac{1}{2}$ < $\frac{2}{4}$ | ||

d. | $\frac{1}{2}$ = $\frac{4}{2}$ |

[1 out of 2 parts is shaded.]

The fraction represented by the second square is

[2 out of 4 parts are shaded.]

Also, we notice that the squares are of the same size and the same amount is shaded in both the squares.

So the number sentence '

Correct answer : (2)

102.

Identify the figure that shows a pair of equivalent fractions.

a. | Figure 1 | ||

b. | Figure 4 | ||

c. | Figure 2 | ||

d. | Figure 3 |

So, Figure 1 shows a pair of equivalent fractions.

Correct answer : (1)

103.

Which model is shaded to show a fraction equivalent to $\frac{5}{15}$?

a. | Model 2 | ||

b. | Model 3 | ||

c. | Model 1 | ||

d. | Model 4 |

[1 out of 3 parts is shaded.]

Model 2 represents the fraction

[5 out of 8 parts are shaded.]

Model 3 represents the fraction

[3 out of 4 parts are shaded.]

Model 4 represents the fraction

[5 out of 10 parts are shaded.]

The given fraction

[Divide both the top and the bottom numbers by 5, because they both are multiples of 5.]

So, among the models shown, only Model 1 is shaded to show a fraction equivalent to

[Because,

Correct answer : (3)

104.

Identify the two figures that have an equivalent fraction shaded.

a. | Figure 2 and Figure 3 | ||

b. | Figure 2 and Figure 4 | ||

c. | Figure 1 and Figure 2 | ||

d. | Figure 3 and Figure 4 |

[6 out of 8 parts are shaded.]

Figure 2 represents the fraction

[3 out of 4 parts are shaded.]

Figure 3 represents the fraction

[1 out of 4 parts is shaded.]

Figure 4 represents the fraction

[1 out of 2 parts is shaded.]

Make all the denominators (bottom numbers) the same, preferably 8. Figure 1 already shows a fraction with 8 in the denominator.

Consider

[Multiply the top and the bottom numbers by 2.]

Consider

[Multiply the top and the bottom numbers by 2.]

Consider

[Multiply the top and the bottom numbers by 4.]

So, Figure 1 and Figure 2 have an equivalent fraction shaded.

Correct answer : (3)

105.

John and Amy are arranging books in shelves. They have completed $\frac{3}{5}$ of the job so far. Identify the fraction that is equivalent to $\frac{3}{5}$.

a. | $\frac{6}{10}$ | ||

b. | $\frac{3}{10}$ | ||

c. | $\frac{6}{5}$ | ||

d. | $\frac{9}{8}$ |

Skip count the top number by 3′s and the bottom number by 5′s.

[All these fractions are equivalent to each other, because we added as many 5′s as 3′s to each fraction.]

So, among the fractions listed,

Correct answer : (1)

106.

Use the figure shown to choose the number that replaces the ? to make the fractions equivalent.

a. | 6 | ||

b. | 3 | ||

c. | 12 |

In the second rectangle, 3 out of 6 parts are shaded.

So,

[Because, both the rectangles shown are the same size and the same amount is shaded in both the rectangles.]

So, 3 replaces the

Correct answer : (3)

107.

Are the pair of fractions $\frac{2}{5}$ and $\frac{3}{10}$ equivalent ?

a. | Yes | ||

b. | No |

Represent

From the above figure,

So, the fractions

Correct answer : (2)

108.

Compare the two figures. Are the fractions equivalent?

a. | No | ||

b. | Yes |

Fractions that represent same amount are called equivalent fractions.

In fraction

As

So, the fractions represented by the figures are not equivalent.

Correct answer : (1)

109.

Find an equivalent fraction of $\frac{6}{8}$ .

a. | $\frac{1}{2}$ | ||

b. | $\frac{3}{4}$ | ||

c. | $\frac{3}{2}$ | ||

d. | $\frac{8}{6}$ |

Represent the fraction

Line up

As three

So, the equivalent fraction of

Correct answer : (2)

110.

Find the fraction equivalent to $\frac{2}{3}$ .

a. | $\frac{4}{6}$ | ||

b. | $\frac{1}{3}$ | ||

c. | $\frac{13}{6}$ | ||

d. | $\frac{2}{4}$ |

Represent the fraction

Line up

As four

So, the equivalent fraction of

Correct answer : (1)