Question

Which equation shows how to use equivalent fractions to evaluate 2 5 + 3 4 5 2 ​ + 4 3 ​ start fraction, 2, divided by, 5, end fraction, plus, start fraction, 3, divided by, 4, end fraction?

Answer 1

Answer:

2/5 + 3/4 = 23/20

Step-by-step explanation:

Given

2/5 + 3/4

To evaluate this using equivalent fractions, we have to make the fractions have the same denominators, in such a way that the value of each fraction is unchanged.

First consider the denominators of each fractions: 5 and 4. Their lowest common multiple is 5×4 = 20.

20/4 = 5, and 20/5 = 4

Now, 2/5 = (2×4)/(5×4) = 8/20

and 3/4 = (3×5)/(4×5) = 15/20

So

2/5 + 3/4 = 8/20 + 15/20

= (8+15)/20 = 23/20

Therefore,

2/5 + 3/4 = 23/20