Question

Which of the following fraction pairs is equivalent?

a) (20)/(36) and (21)/(27)
b) (24)/(56) and (18)/(42)
c) (12)/(20) and (12)/(22)
d) (12)/(28) and (18)/(30)

Answer 1

The correct pair of equivalent fractions is option b) (24/56) and (18/42), which both simplify to the fraction (3/7). The correct option is b.

Step-by-step explanation:

The subject of this question is Mathematics, specifically focusing on the identification of equivalent fractions.

To determine which of the following fraction pairs is equivalent, we need to simplify each fraction or find the common numerator or denominator to reveal any equivalencies:

1. (20/36) and (21/27)
2. (24/56) and (18/42)
3. (12/20) and (12/22)
4. (12/28) and (18/30)

Upon simplification:

1. (20/36) can be reduced to (5/9) and (21/27) can be reduced to (7/9), so they are not equivalent.
2. (24/56) simplifies to (3/7) and (18/42) simplifies to (3/7), thus they are equivalent fractions.
3. (12/20) reduces to (3/5) and (12/22) can't be simplified to the same fraction, so not equivalent.
4. (12/28) simplifies to (3/7) and (18/30) simplifies to (3/5), so they are not equivalent.

Option b) (24/56) and (18/42) is the pair of equivalent fractions. The correct option is b.