Equivalent Fractions Worksheet

**Page 8**

71.

Are $\frac{15}{18}$ and $\frac{20}{24}$ equivalent?

a. | Yes | ||

b. | No |

Divide the numerator and denominator of

Both

Correct answer : (1)

72.

Find $x$ in the expression.

1 = $\frac{x}{9}$

a. | 9 | ||

b. | 1 | ||

c. | 10 |

Correct answer : (1)

73.

Are $\frac{4}{5}$ and $\frac{8}{15}$ equivalent?

a. | No | ||

b. | Yes |

But both the numerator and the denominator are not multiplied by the same number. 8 = 4 × 2 and the denominator 15 = 5 × 3.

So, the fractions are not equivalent.

Correct answer : (1)

74.

Fill in the missing numerator in the given equivalent fractions.

$\frac{12}{15}$ = $\frac{\mathrm{?}}{5}$

a. | 4 | ||

b. | 5 | ||

c. | 12 | ||

d. | none of these |

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

The denominator in the first fraction is a multiple of the denominator in the resultant fraction. So, the denominator should be divided by some number to get the resultant denominator.

The numerator of the fraction should be divided by 3 to get the missing numerator. The missing numerator = 12 ÷ 3.

The missing numerator = 4.

Correct answer : (1)

75.

Pick fractions equivalent to $\frac{10}{12}$.

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

5/6 | 50/60 | 10/11 | 500/600 |

a. | $f$1, $f$2, and $f$4 | ||

b. | $f$1 and $f$3 | ||

c. | $f$2, $f$3 and $f$4 | ||

d. | none of these |

Similarly,

In

Correct answer : (1)

76.

Identify the sentence that describes the fractions.

a. | $\frac{1}{2}$ is greater than $\frac{2}{4}$ | ||

b. | $\frac{1}{2}$ is equivalent to $\frac{2}{4}$ | ||

c. | $\frac{1}{2}$ is less than $\frac{2}{4}$ | ||

d. | $\frac{1}{2}$ is equivalent to $\frac{2}{3}$ |

So, the sentence '

Correct answer : (2)

77.

Complete:

$\frac{1}{2}$ = $\frac{\mathrm{?}}{4}$

$\frac{1}{2}$ = $\frac{\mathrm{?}}{4}$

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

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

c. | $\frac{1}{2}$ = $\frac{2}{8}$ | ||

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

Hence, the missing number is 2.

Hence,

Correct answer : (1)

78.

Which number sentence is true?

a. | $\frac{9}{18}$ > $\frac{6}{12}$ | ||

b. | $\frac{9}{18}$ < $\frac{6}{12}$ | ||

c. | $\frac{9}{18}$ = $\frac{1}{12}$ | ||

d. | $\frac{9}{18}$ = $\frac{6}{12}$ |

For each fraction, check whether the top and the bottom numbers are both multiples of the same number.

Consider

So, dividing the top and bottom numbers by 9 will reduce the fraction to

Proceeding the same way, we find that the other fraction

[Divide the top and the bottom numbers of the fraction

So, among the number sentences listed only '

Correct answer : (4)

79.

Valerie used $\frac{6}{10}$ cup of chocolate chips to make cookies. Nina used $\frac{9}{15}$ cup of chocolate chips to make cookies. Which sentence is true about the amount of chocolate chips used by both Valerie and Nina?

a. | Both used the same amount of chocolate chips. | ||

b. | The amount of chocolate chips that Valerie used is greater than what Nina used. | ||

c. | The amount of chocolate chips that Valerie used is less than what Nina used. | ||

d. | The amount of chocolate chips that Nina used is greater than what Valerie used. |

For each fraction, check whether the top and the bottom numbers are both multiples of the same number.

Consider

So, dividing the top and bottom numbers by 2 will reduce the fraction to

Proceeding the same way, we find that the other fraction

[Divide the top and the bottom numbers of the fraction

So, Valerie and Nina both used the same amount of chocolate chips.

[Because, the two fractions are equivalent.]

Correct answer : (1)

80.

Fill in the missing value in the equation $\frac{4}{6}$ = $\frac{\mathrm{?}}{3}$ .

a. | 2 | ||

b. | 3 | ||

c. | 4 | ||

d. | None of the above |

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

The denominator in the first fraction is a multiple of the denominator in the resultant fraction. So, the denominator should be divided by some number to get the resultant denominator.

The numerator of the fraction should be divided by 2 to get the missing numerator. The missing numerator = 4 ÷ 2 .

The missing value = 2.

Correct answer : (1)