Equivalent Fractions Worksheet

**Page 5**

41.

Express the fraction $\frac{30}{70}$ in its simplest form.

a. | $\frac{-3}{7}$ | ||

b. | $\frac{7}{3}$ | ||

c. | $\frac{3}{7}$ | ||

d. | None of the above |

[Write factors for numerator.]

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70.

[Write factors for denominator.]

GCF of 30 and 70 is 10.

[Select the greatest common factor.]

[Divide numerator and denominator by GCF 10.]

The simplest form of the fraction

Correct answer : (3)

42.

With what number would you multiply the numerator and the denominator of the fraction $\frac{7}{13}$ to get $\frac{77}{143}$ ?

a. | 12 | ||

b. | 11 | ||

c. | 10 | ||

d. | None of the above |

[Express 77 as a multiple of 7 and 143 as a multiple of 13.]

The numerator and denominator of

Correct answer : (2)

43.

Using common factors, find two fractions equivalent to $\frac{16}{24}$.

a. | $\frac{12}{4}$ , $\frac{8}{6}$ | ||

b. | $\frac{8}{4}$ , $\frac{12}{6}$ | ||

c. | $\frac{8}{12}$ , $\frac{4}{6}$ | ||

d. | None of the above |

[Write the factors for 16.]

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

[Write the factors for 24.]

The common factors for 16 and 24 are 1, 2, 4, 8.

[Divide numerator and denominator by the common factors and then simplify.]

[Divide numerator and denominator by the common factors and then simplify.]

The two fractions equivalent to

Correct answer : (3)

44.

Find two equivalent fractions of $\frac{10}{40}$.

a. | $\frac{1}{4}$ and $\frac{2}{8}$ | ||

b. | none of these | ||

c. | $\frac{1}{4}$ and $\frac{1}{8}$ | ||

d. | $\frac{1}{4}$ and $\frac{12}{8}$ |

[Divide numerator and denominator by their GCF 10.]

[Multiply numerator and denominator of

The two equivalent fractions of

Correct answer : (1)

45.

Josh has 16 chocolates and he gave 7 of them to Ashley. Choose a fraction that is equivalent to the fraction of the chocolates left with Josh.

a. | $\frac{19}{33}$ | ||

b. | $\frac{32}{18}$ | ||

c. | $\frac{18}{32}$ | ||

d. | None of the above |

The fraction of the chocolates left with Josh =

The equivalent fraction for this is,

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

The equivalent fraction is

Correct answer : (3)

46.

Find two equivalent fractions of $\frac{3}{4}$.

a. | $\frac{9}{12}$, $\frac{15}{20}$ | ||

b. | $\frac{9}{13}$, $\frac{16}{20}$ | ||

c. | $\frac{10}{12}$, $\frac{15}{21}$ | ||

d. | None of the above |

[List a few multiples of 3.]

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

[List a few multiples of 4.]

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

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

The two equivalent fractions of

Correct answer : (1)

47.

In a college election the number of votes polled were 500. Francis got 200 votes. Express the votes that Francis got as a fraction in the simplest form.

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

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

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

d. | None of the above |

200 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

[Write factors for numerator and denominator.]

G.C.F of 200 and 500 is 100

[Select the greatest common factor.]

[Divide numerator and denominator by GCF,100.]

Francis got

Correct answer : (3)

48.

Find the value of $x$, if $\frac{\mathrm{x}}{49}$and $\frac{3}{7}$ are equivalent fractions.

a. | 10 | ||

b. | 49 | ||

c. | 1 | ||

d. | 21 |

[Given expression.]

[Multiply numerator and denominator of

[Take the numerators of the two fractions.]

= 21

[Multiply.]

So, the value of

Correct answer : (4)

49.

In a game of 35 matches, Josh won 21 matches. What fraction of the matches did Josh win? Choose two equivalent fractions of this fraction.

a. | $\frac{21}{35}$, $\frac{35}{70}$ and $\frac{5}{42}$ | ||

b. | $\frac{21}{35}$, $\frac{42}{70}$ and $\frac{3}{5}$ | ||

c. | $\frac{21}{35}$, $\frac{3}{70}$ and $\frac{5}{42}$ | ||

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 7.]

The two equivalent fractions of

Correct answer : (2)

50.

Write an equivalent fraction for the model.

a. | $\frac{3}{9}$ | ||

b. | $\frac{6}{4}$ | ||

c. | $\frac{8}{16}$ | ||

d. | None of the above |

The model represents the fraction

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

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

The equivalent fractions for

So, the equivalent fraction for the model is

Correct answer : (3)