Find the sum of 3/8 and 2/5

Question

3
8

𝑎
𝑛
𝑑

2
5
(1 point)
Responses

513
5
13
5 over 13

3140
31
40
31 over 40

540
5
40
5 over 40

3113

Answer 1

To find the sum of \( \frac{3}{8} \) and \( \frac{2}{5} \), we need to have a common denominator.

The denominators are 8 and 5, and the least common multiple (LCM) of 8 and 5 is 40.

Now, we will convert both fractions to have a denominator of 40:

1. Convert \( \frac{3}{8} \): \[ \frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40} \]

2. Convert \( \frac{2}{5} \): \[ \frac{2}{5} = \frac{2 \times 8}{5 \times 8} = \frac{16}{40} \]

Now we can add the two fractions: \[ \frac{15}{40} + \frac{16}{40} = \frac{15 + 16}{40} = \frac{31}{40} \]

So the sum of \( \frac{3}{8} \) and \( \frac{2}{5} \) is \( \frac{31}{40} \).

The correct response is: 31 over 40 or \( \frac{31}{40} \).