Which of the following pairs of fractions with a common denominator are equivalent to 1/4 and 2/5?a. 5/20, 8/20b. 1/20, 2/20c. 1/9, 2/9d. 5/20, 4/20

5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5

We are ask to find the equivalent of the pairs of fractions with a common denominator 1 /4 and 2 / 5.

The logic is to reduce by dividing the options with same numerator and denominator to get the equivalent of the fraction required.

Therefore,

5 / 20 and 8 / 20

5 / 20 ÷ 5  / 5 = 1 / 4

8 / 20 ÷ 4 / 4  = 2/5

Base on the answer you can see that when we reduced option A fractions, they are the same with the required fractions.

Therefore, 5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5

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a. 5/20, 8/20

Step-by-step explanation:

1/4 and 2/5

a. 5/20, 8/20

5/20

Divide both numerator and denominator by 5

= 1/4

8/20

Divide both numerator and denominator by 4

= 2/5

b. 1/20, 2/20

1/20 =1/20

2/20

Divide both numerator and denominator by 2

= 1/10

c. 1/9, 2/9

Both fractions can't be further simplified

= 1/9, 2/9

d. 5/20, 4/20

5/20

Divide both numerator and denominator by 5

= 1/4

4/20

Divide both numerator and denominator by 4

= 1/5

The correct answer is a. 5/20, 8/20

= 1/4, 2/5