What is the sum of 9/10+3/8​?

Question

Responses

1 9/40
1 and 9 over 40

21/40
21 over 40

1 11/40
1 and 11 over 40

3/20

Answer 1

To calculate the sum of \( \frac{9}{10} + \frac{3}{8} \), we first need a common denominator.

The least common multiple (LCM) of 10 and 8 is 40.

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

1. Convert \( \frac{9}{10} \): \[ \frac{9}{10} = \frac{9 \times 4}{10 \times 4} = \frac{36}{40} \]

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

Now we can sum the two fractions: \[ \frac{36}{40} + \frac{15}{40} = \frac{36 + 15}{40} = \frac{51}{40} \]

Next, we can convert \( \frac{51}{40} \) into a mixed number: \[ \frac{51}{40} = 1 \frac{11}{40} \]

So, the final answer is: 1 and 11 over 40 or \( \frac{51}{40} \).

The appropriate response from your options is: 1 11/40.