Answer:
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
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
learn more on fraction here: https://brainly.com/question/17447977?referrer=searchResults
