Equivalent Fractions Worksheet

**Page 9**

81.

Are the fractions represented by the figures equivalent?

a. | Yes | ||

b. | No |

In the second figure 2 out of 6 parts are shaded. So, the fraction represented by it is

Simplify

The value of the fractions in all the three situations is the same.

So, the fractions represented by the figures are equivalent.

Correct answer : (1)

82.

Pick the fractions equivalent to $\frac{12}{15}$.

A | B | C | D |

4/5 | 40/50 | 8/15 | 400/500 |

a. | A, B and D | ||

b. | B, C and D | ||

c. | A and C | ||

d. | None of the above |

A is obtained by dividing the numerator and the denominator of

B is obtained by dividing the numerator and the denominator of

Similarly, D is obtained by dividing the numerator and the denominator of

In C the denominators are equal, but the numerators are different. So it is not an equivalent fraction of

A, B and D are equivalent fractions of

Correct answer : (1)

83.

Which of the figures represent equivalent fractions?

a. | (a) A, B, C and D | ||

b. | (a) A, and B (b) C, D and E | ||

c. | (a) A, B and E (b) C and D | ||

d. | (a) A, B and E (b) C, D and E |

[Simplify to the lowest term.]

E represents

A, B and E represent

In C and D, 1 out of 4 parts is shaded. So, both C and D represent

Correct answer : (3)

84.

Are the fractions represented by the figures equivalent?

a. | Yes | ||

b. | No |

In the second figure also 1 out of 2 parts is shaded. So, it also represent the fraction

Though the figures and their sizes are different they both represent the same fraction

So, the fractions represented by the figures are equivalent.

Correct answer : (1)

85.

Pick the fractions equivalent to $\frac{2}{3}$.

A | B | C | D | ||||||||||||||||||||||||||||||||||||||||||||||||||

4/9 | 10/15
## Solution:An equivalent of the fraction is obtained by multiplying or dividing the numerator and the denominator of the fraction with a common number.We cannot get A by multiplying the numerator and the denominator of So, A is not an equivalent fraction of the fraction. We get B by multiplying the numerator and the denominator of = We cannot get C by multiplying the numerator and the denominator of So, C is not an equivalent fraction of the fraction. We get D by multiplying the numerator and the denominator of = So, choice A is correct. Correct answer : (0) 86.
Are $\frac{9}{12}$and $\frac{15}{20}$ equivalent?
## Solution:Divide the numerator and denominator ofDivide the numerator and denominator of Both Correct answer : (1) 87.
Find $x$ in the expression.
1 = $\frac{\mathrm{x}}{7}$
## Solution:Correct answer : (1) 88.
Solve
## Solution:Given, the fractions are equivalent. So, the numerator and the denominator of the first fraction are multiplied or divided by a common number to get its equivalent fraction.The numerator in the resultant fraction is a multiple of the first fraction. 9 = 3 × 3. As the numerator of the resultant fraction is multiplied by 3, the denominator should also be multiplied by 3. The denominator of the resultant fraction = 4 × 3 = 12. Correct answer : (3) 89.
Are $\frac{5}{6}$ and $\frac{15}{24}$ equivalent?
## Solution:InBut both the numerator and the denominator are not multiplied by the same number. 15 = 5 × 3 and the denominator 24 = 6 × 4. So, the fractions are not equivalent. Correct answer : (2) 90.
Can the fractions represented by the shaded parts of the two figures be called equivalent?
## Solution:The number of grids in the Figure 1 is 8.The number of shaded grids in the Figure 1 is 4. The fraction of the shaded part of the Figure 1 = = [Substitute the values.] = [Divide.] The number of grids in the Figure 2 is 12. The number of shaded grids in the Figure 2 is 6. The fraction of the shaded part of the Figure 2 = = [Substitute the values.] = [Divide.] The fractions of the shaded parts in both the Figures are equivalent. Correct answer : (1) |