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