Equivalent Fractions Worksheet

**Page 14**

131.

Choose the figures which represent equivalent fractions.

a. | Figures 1 and 2 | ||

b. | Figures 2 and 4 | ||

c. | Figures 1 and 3 | ||

d. | Figures 3 and 4 |

The fraction that represents the shaded part of figure 2 is

The fraction that represents the shaded part of figure 3 is

The fraction that represents the shaded part of figure 4 is

So, the fractions given by the figures 1 and 2 are equivalent.

Correct answer : (1)

132.

If the fractions $\frac{8}{26}$ and $\frac{x}{13}$ are equivalent, then find the value of $x$.

a. | 4 | ||

b. | 6 | ||

c. | 5 | ||

d. | 3 |

So, the numerator and the denominator of the first fraction are multiplied or divided by a common number, to give the second fraction.

The denominator of the second fraction is obtained by dividing the denominator of the first fraction by 2.

So, the numerator of the first fraction should also be divided by the same number, 2.

The numerator of the second fraction =

So, the missing value

Correct answer : (1)

133.

Say whether the fractions represented by the figures are equivalent or not.

a. | Yes | ||

b. | No |

So, the fraction represented by this figure is

The total number of parts in the second figure is 15 and the shaded parts in it are 10.

So, the fraction represented by this figure is

So, the fractions represented by the two figures are equivalent.

Correct answer : (1)

134.

Are the fractions represented by the figures equivalent?

a. | Yes | ||

b. | No |

So, the fraction represented by this figure is

The total number of parts in the second figure is 8 and the shaded parts in it are 6.

So, the fraction represented by this figure is

So, the fractions represented by the two figures are not equivalent.

Correct answer : (2)

135.

Choose the figures which represent equivalent fractions.

a. | Figures 1, 2 and 3 | ||

b. | Figures 1 and 2 | ||

c. | Figures 1, 2 and 4 | ||

d. | Figures 1 and 3 |

The fraction that represents the shaded part of figure 2 is

The fraction that represents the shaded part of figure 3 is

The fraction that represents the shaded part of figure 4 is

So, the fractions given by the figures 1, 2 and 3 are equivalent.

Correct answer : (1)

136.

Which of the following is an equivalent of $\frac{18}{24}$?

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

b. | $\frac{1}{3}$ | ||

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

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

[Given fraction.]

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

[Divide out the common factor 6.]

So,

Correct answer : (3)

137.

The greatest number that is a factor of each of two numbers is called the _________ .

a. | Greatest common factor (GCF) | ||

b. | Least common denominator (LCD) |

Correct answer : (1)

138.

Can we simplify the fraction $\frac{9}{8}$?

a. | Yes | ||

b. | No |

The fraction

So, the fraction cannot be further simplified.

Correct answer : (2)

139.

Fractions that name the same region, part of a set, and part of a segment are called _________ .

a. | Improper fractions | ||

b. | Proper fractions | ||

c. | Simple fractions | ||

d. | Equivalent fractions |

Correct answer : (4)

140.

A fraction is in its _________ when the greatest common factor of the numerator and the denominator is 1.

a. | Simplest form | ||

b. | Independent form | ||

c. | Improper form | ||

d. | None of the above |

Correct answer : (1)