Equivalent Fractions Worksheet

**Page 7**

61.

Find the value of $n$, if $\frac{\mathrm{n}}{4}$ = $\frac{5}{10.}$

a. | 2 | ||

b. | 1 | ||

c. | 4 | ||

d. | 3 |

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

The common factors are 1, 5.

[Given expression.]

[Since it is an equivalent fraction, numerator and denominator are divided by the same number and common factor, 5.]

[Simplify.]

The value of

Correct answer : (2)

62.

Ed had 5 toys. He gave 2 toys to his friends. Write the two equivalent fractions for the fraction of the toys left with Ed.

a. | $\frac{3}{15}$and $\frac{4}{20}$ | ||

b. | $\frac{2}{10}$and $\frac{3}{15}$ | ||

c. | $\frac{6}{10}$and $\frac{9}{15}$ | ||

d. | None of the above |

The fraction of the toys left with Ed = Number of toys left / Total number of toys

=

[Substitute.]

[Multiply both numerator and denominator by the same non zero number, 2.]

[Multiply both numerator and denominator by the same non zero number, 3.]

The two equivalent fractions are

Correct answer : (3)

63.

Write an equivalent fraction for the model.

a. | $\frac{1}{8}$ | ||

b. | $\frac{2}{8}$ | ||

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

d. | None of the above |

The model represents a fraction of

The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27.

[Write the first few multiples of 3.]

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36.

[Write the first few multiples of 4.]

So, the equivalent fractions of

The equivalent fraction for the model is

Correct answer : (3)

64.

Write two equivalent fractions for the model.

a. | $\frac{10}{18}$, $\frac{15}{20}$ | ||

b. | $\frac{20}{32}$, $\frac{25}{30}$ | ||

c. | $\frac{20}{32}$, $\frac{25}{40}$ | ||

d. | None of the above |

The model represents a fraction of

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45.

[Write the first few multiples of 5.]

Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72.

[Write the first few multiples of 8.]

The equivalent fractions of

The two equivalent fractions for the model are

Correct answer : (3)

65.

Which of the following fractions represents the simplest form of the fraction $\frac{12}{15}$?

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

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

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

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

[Write the factors of 12 and 15.]

=

[Divide out the common factors.]

The fraction

Correct answer : (4)

66.

Find the simplest form of the fraction $\frac{20}{25}$.

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

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

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

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

[Write the factors of 20 and 25.]

=

[Divide out the common factors.]

The fraction

Correct answer : (4)

67.

Reduce the fraction to its simplest form.

$\frac{4}{30}$

$\frac{4}{30}$

a. | $\frac{2}{15}$ | ||

b. | $\frac{1}{15}$ | ||

c. | $\frac{3}{16}$ | ||

d. | $\frac{2}{29}$ |

[Write the factors for the numerator and the denominator.]

=

[Cancel the common factors in the numerator and the denominator.]

Correct answer : (1)

68.

Find the equivalent fraction of $\frac{3}{4}$ with the denominator as 28.

a. | $\frac{21}{28}$ | ||

b. | $\frac{1}{28}$ | ||

c. | $\frac{29}{28}$ | ||

d. | $\frac{27}{28}$ |

To get the number 28 on denominator multiply the numerator and the denominator with 7.

So, the equivalent fraction of

Correct answer : (1)

69.

Which of the figures in the picture represent equivalent fractions?

a. | (a) A, B and E (b) C, D and E | ||

b. | (a) A, B and E (b) C and D | ||

c. | (a) A, and B (b) C, D and E | ||

d. | None of the above |

[Simplify to the lowest term.]

E represents

So, A, B and E represent

In C and D, 1 out of 4 parts is selected. So, both C and D represent

Correct answer : (2)

70.

Pick fractions equivalent to $\frac{4}{5}$.

$f$1 | $f$2 | $f$3 | $f$4 |

8/15 | 8/10
## Solution:An equivalent of the fraction is obtained by multiplying or dividing the numerator and the denominator of the fraction with a common number.We cannot get So, = We get We cannot get So, = We get So, So, choice A is correct. Correct answer : (0) |