Equivalent Fractions Worksheet

**Page 10**

91.

Which of the given fractions is equivalent to $\frac{2}{3}$?

a. | $\frac{6}{9}$ | ||

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

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

d. | $\frac{4}{9}$ |

To compare

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To compare

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To compare

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Correct answer : (1)

92.

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

a. | 2 | ||

b. | 4 | ||

c. | 8 | ||

d. | 6 |

In the second circle, 4 out of 8 parts are shaded.

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

So, 4 replaces the

Correct answer : (2)

93.

Write three equivalent fractions of $\frac{18}{30}$ using the common factors.

a. | 3/6, 6/10 and 3/5 | ||

b. | 6/15, 6/10 and 3/5 | ||

c. | 3/15, 6/10 and 3/5 | ||

d. | 9/15, 6/10 and 3/5 |

Factors of the denominator, 30 are 1, 2, 3, 5, 6, 10, 15, 30.

The common factors of 18 and 30 are 1, 2, 3 and 6.

[Divide the numerator and the denominator by 2.]

[Divide the numerator and the denominator by 3.]

[Divide the numerator and the denominator by 6.]

The three equivalent fractions of

Correct answer : (4)

94.

Andrew has 4 red and 6 blue marbles. Write an equivalent fraction for the fraction of blue marbles Andrew has.

a. | $\frac{2}{5}$ | ||

b. | $\frac{3}{5}$ | ||

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

d. | $\frac{1}{5}$ |

Fraction of blue marbles Andrew has = (Blue marbles) / (Total marbles)

=

[Substitute the values.]

Factors of 6 are 1, 2, 3, 6.

Factors of 10 are 1, 2, 5, 10.

The common factor of 6 and 10 is 2.

=

[Divide the numerator and denominator by the common factor.]

So, the equivalent fraction for the fraction of blue marbles Andrew has is

Correct answer : (2)

95.

A manufacturing company produces 172 cycles per month. If 60 of them are yellow-colored cycles and 40 of them are pink-colored, then what fraction of cycles are pink-colored when compared to the yellow-colored cycles?

a. | $\frac{4}{5}$ | ||

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

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

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

40 = 1, 2, 4, 5, 8, 10, 20, 40 and

60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

[Write factors of the numerator and the denominator.]

GCF of 40 and 60 is 20

[Select the greatest common factor.]

[Divide numerator and denominator by GCF 20.]

The fraction of pink colored cycles to the yellow colored cycles is

Correct answer : (4)

96.

What would you call different fractions that represent the same amount?

a. | like fractions | ||

b. | equivalent fractions | ||

c. | unlike fractions | ||

d. | unequal fractions |

Correct answer : (2)

97.

Which of the figures is equivalent to the figure?

a. | Figure 1 | ||

b. | Figure 2 | ||

c. | Figure 4 | ||

d. | Figure 3 |

Amounts shaded in Figure 1, Figure 2, and Figure 4 are more than that shaded in the figure.

So, only Figure 3 is equivalent to the figure.

Correct answer : (4)

98.

Matt has 8 pens and he gave 3 of them to Danielle. Choose an equivalent fraction to the fraction of the pens left with Matt.

a. | $\frac{11}{17}$ | ||

b. | $\frac{10}{16}$ | ||

c. | $\frac{16}{10}$ | ||

d. | None of the above |

The fraction of the pens left with Matt =

The equivalent fraction for this is,

[Multiply numerator and denominator by same non-zero number.]

The equivalent fraction is

Correct answer : (2)

99.

In a game of 25 matches, Joe lost 10 matches. What fraction of the matches did Joe lose? Identify equivalent fractions of this fraction.

a. | $\frac{10}{25}$, $\frac{25}{50}$ and $\frac{5}{20}$ | ||

b. | $\frac{10}{25}$, $\frac{20}{50}$ and $\frac{2}{5}$ | ||

c. | $\frac{10}{25}$, $\frac{2}{50}$ and $\frac{5}{20}$ | ||

d. | None of the above |

The equivalent fractions for this is,

[Multiply numerator and denominator by the same nonzero number.]

[Divide numerator and denominator by GCF 5.]

The two equivalent fractions of

Correct answer : (2)

100.

In a family of 16, 7 are males and the remaining are females. Choose two equivalent fractions of the fraction representing the males in the family.

a. | $\frac{14}{48}$ and $\frac{21}{32}$ | ||

b. | $\frac{14}{32}$ and $\frac{21}{48}$ | ||

c. | $\frac{21}{48}$ and $\frac{14}{48}$ | ||

d. | None of the above |

[Multiply the numerator and the denominator by the same nonzero number.]

[Multiply the numerator and the denominator by the same nonzero number.]

The two equivalent fractions for the fraction of males in the family are

Correct answer : (2)