Equivalent Fractions Worksheet

**Page 3**

21.

Identify a figure that represents the equivalent fraction for the fraction shown.

a. | Figure-2 | ||

b. | Figure-3 | ||

c. | Figure-4 | ||

d. | Figure-1 |

In Figure-1, 4 out of 8 boxes are shaded. So, the fraction is

In Figure-2, 6 out of 8 boxes are shaded. So, the fraction is

In the Figure-3, 5 out of 8 boxes are shaded. So, the fraction is

In Figure-4, 3 out of 8 boxes are shaded. So, the fraction is

So, Figure-1 represents the equivalent fraction to the given figure.

Correct answer : (4)

22.

State whether the fractions shown are equivalent or not.

a. | Yes | ||

b. | No |

So, the fraction is

In Figure-2, 4 out of 8 parts are shaded.

So, the fraction for Figure-2 is

[Simplify.]

So, both the fractions shown are equivalent.

Correct answer : (1)

23.

Which fraction is equivalent to $\frac{5}{10}$?

a. | Figure-2 | ||

b. | Figure-3 | ||

c. | Figure-1 | ||

d. | Figure-4 |

[Simplify.]

In Figure-1, 5 out of 8 parts are shaded. So, the fraction is

In Figure-2, 1 out of 2 parts is shaded. So, the fraction is

In Figure-3, 3 out of 8 parts are shaded. So, the fraction is

In Figure-4, 4 out of 6 parts are shaded. So, the fraction is

So, Figure-2 shows the fraction equivalent to

Correct answer : (1)

24.

Which fraction represents an equivalent fraction of the fraction shown?

a. | Figure 2 | ||

b. | Figure 1 | ||

c. | Figure 4 | ||

d. | Figure 3 |

In Figure-1, 1 out of 3 parts are shaded. So, the fraction is

In Figure-2, 4out of 6 parts are shaded. So, the fraction is

In the Figure-3, 2 out of 4 parts are shaded. So, the fraction is

In Figure- 4, 1 out of 5 parts are shaded. So, the fraction is

So, Figure-2 represents the equivalent fraction to the given figure.

Correct answer : (1)

25.

Which figure models an equivalent fraction of $\frac{3}{5}$?

a. | Figure 1 | ||

b. | Figure 2 | ||

c. | Figure 3 | ||

d. | None of the above |

GCF of 6 and 10 is 2

[The greatest factor which is common for 6 and 10 is 2.]

[Divide numerator and denominator by the GCF 2.]

=

[Simplify.]

The fraction modeled in the Figure 2 is

So, Figure 1 models an equivalent fraction of

Correct answer : (1)

26.

What is the number by which the numerator and the denominator of the fraction $\frac{7}{8}$ should be multiplied with to get $\frac{105}{120}$?

a. | 30 | ||

b. | 14 | ||

c. | 12 | ||

d. | 15 |

[Express 105 as a multiple of 7 and 120 as a multiple of 8.]

The numerator and denominator of

Correct answer : (4)

27.

Express $\frac{6}{9}$ in its simplest form.

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

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

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

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

[Write factors for numerator.]

Factors of 9 are 1, 3, 9

[Write factors for denominator.]

GCF of 6 and 9 is 3.

[Select the greatest factor which is common to both the numbers.]

[Divide numerator and denominator by the GCF 3.]

So, the simplest form of the fraction

Correct answer : (4)

28.

Select the figure that is an equivalent fraction of the model given.

a. | Figure 1 | ||

b. | Figure 2 | ||

c. | Figure 3 | ||

d. | None of the above |

Factors of 4 are 1, 2, 4

[Write factors of the numerator.]

Factors of 8 are 1, 2, 4, 8

[Write factors of the denominator.]

GCF of 4 and 8 is 4

[Select the common factors and find GCF.]

[Divide numerator and denominator by the GCF 4.]

Figure 1 models the fraction,

Figure 2 models the fraction,

Figure 3 models the fraction,

Factors of 2 are 1, 2

[Write factors of the numerator.]

Factors of 4 are 1, 2, 4

[Write factors of the denominator.]

GCF of 2 and 4 is 2.

[Select the common factors and find GCF.]

[Divide numerator and denominator by the GCF 2.]

Figure 3 models the equivalent fraction of the model.

Correct answer : (3)

29.

Find the value of $x$, if $\frac{5}{10}$ and $\frac{\mathrm{x}}{50}$ are equivalent fractions.

a. | 25 | ||

b. | 24 | ||

c. | 27 | ||

d. | 26 |

[Write 50 as a factor of 10.]

[Multiply numerator and denominator of

So,

[If two equal fractions have equal denominators, their numerators are also equal.]

Correct answer : (1)

30.

What is the equivalent fraction for the model?

a. | $\frac{5}{8}$ | ||

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

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

d. | None of the above |

The model represents a fraction of

[Divide 9 and 12 by their GCF 3.]

The equivalent fraction for the model is

Correct answer : (2)