Equivalent Fractions Worksheet

**Page 6**

51.

In an examination, Frank scored 70 out of 100. What fraction of the points did Frank get? Choose the fraction in its simplest form.

a. | $\frac{8}{11}$ | ||

b. | $\frac{7}{10}$ | ||

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

d. | None of the above |

70 = 1, 2, 5, 7, 10, 14, 35, 70

100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

[Write factors for numerator and the denominator.]

G.C.F of 70 and 100 is 10.

[Select the greatest common factor for 70 and 100.]

[Divide numerator and denominator by their GCF, 10.]

The fraction of points Frank scored is

Correct answer : (2)

52.

In a family of 12, 5 are females and the remaining are males. Choose two equivalent fractions for the fraction of females in the family.

a. | $\frac{10}{24}$ and $\frac{15}{36}$ | ||

b. | $\frac{15}{36}$ and $\frac{10}{36}$ | ||

c. | $\frac{10}{36}$ and $\frac{15}{24}$ | ||

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 females in the family are

Correct answer : (1)

53.

Are the two models equal?

a. | Not equal | ||

b. | Equal |

So, model 1 represents a fraction of

In model 2, 6 divisions are shaded out of 8 divisions.

So, model 2 represents a fraction of

6 = 1, 2, 3, 6 and 8 = 1, 2, 4, 8

[Write factors for the numerator and the denominator.]

[Divide numerator and denominator by their GCF, 2.]

The equivalent fraction of fraction represented by model 2 is

As the two fractions are equal, the models are equal.

Correct answer : (2)

54.

Are the two models equal?

a. | Not equal | ||

b. | Equal |

So, it represents a fraction of

In model 2, 10 divisions are shaded out of 16 divisions.

So, it represents a fraction of

10 = 1, 2, 5, 10 and 16 = 1, 2, 4, 8,16

[Write factors for numerator and the denominator.]

=

[Divide numerator and denominator by their GCF, 2.]

The equivalent fraction of fraction represented by model 2 is

As the two fractions are not equal, the models are not equal.

Correct answer : (1)

55.

Choose the model which is not equivalent to the other models.

a. | Figure 3 | ||

b. | Figure 2 | ||

c. | Figure 1 | ||

d. | Figure 4 |

Factors of 4 are 1, 2 and 4.

Factors of 8 are 1, 2, 4 and 8.

The common factors of 4 and 8 are 1, 2 and 4.

[Divide numerator and denominator by the common factor, 2 and simplify.]

[Divide numerator and denominator by the common factor, 4 and simplify.]

The two fractions equivalent to

Figures 2 and 3 represent the fractions

Figures 1, 2 and 3 model the equivalent fractions.

Figure 4 models the fraction

Figure 4 is the model, which is not equivalent to the other models.

Correct answer : (4)

56.

Which pair of fractions is equivalent to the fraction modeled by the figure shown?

a. | $\frac{10}{16}$ and $\frac{12}{15}$ | ||

b. | $\frac{8}{10}$ and $\frac{12}{15}$ | ||

c. | $\frac{9}{15}$ and $\frac{15}{24}$ | ||

d. | $\frac{8}{18}$ and $\frac{12}{27}$ |

The figure represents the fraction

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

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

The pair of fractions equivalent to the fraction modeled by the figure shown is

Correct answer : (4)

57.

Write two equivalent fractions for the fraction modeled by the figure.

a. | $\frac{6}{24}$ and $\frac{12}{32}$ | ||

b. | $\frac{10}{16}$ and $\frac{5}{8}$ | ||

c. | $\frac{3}{8}$ and $\frac{12}{32}$ | ||

d. | None of the above |

The figure represents a fraction of

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

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

The two equivalent fractions for the fraction modeled by the figure are

Correct answer : (3)

58.

Choose two equivalent fractions for the fraction represented by the figure.

a. | $\frac{10}{16}$ and $\frac{15}{24}$ | ||

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

c. | $\frac{6}{16}$ and $\frac{9}{24}$ | ||

d. | None of the above |

The figure represents a fraction of

[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 represented by the figure are

Correct answer : (1)

59.

Write the fraction represented by the model in its simplest form.

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

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

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

d. | None of the above |

The model represents a fraction of

15 = 1, 3, 5, 15 and 25 = 1, 5, 25

[Write factors for numerator and the denominator.]

[Divide numerator and denominator by their GCF, 5.]

The simplest form of the fraction that the model represents is

Correct answer : (3)

60.

Find the value of $n$, if $\frac{3}{\mathrm{n}}$ and $\frac{12}{20}$ are equivalent fractions.

a. | 6 | ||

b. | 7 | ||

c. | 5 | ||

d. | None of the above |

Factors of 20 are 1, 2, 4, 5, 10, 20.

The common factors are 1, 2, 4.

[Since both fractions are equivalent.]

[Divide numerator and denominator of

[Simplify.]

The value of

Correct answer : (3)