What is the sum of 2 1/5

Question

and 1 3/5
?(1 point)
Responses

35
3 fifths

345
3 and 4 fifths

445
4 and 4 fifths

3325

Answer 1

To find the sum of \(2 \frac{1}{5}\) and \(1 \frac{3}{5}\), follow these steps:

1. Convert the mixed numbers to improper fractions: \[ 2 \frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5} \] \[ 1 \frac{3}{5} = \frac{1 \times 5 + 3}{5} = \frac{5 + 3}{5} = \frac{8}{5} \]

2. Add the two improper fractions: \[ \frac{11}{5} + \frac{8}{5} = \frac{11 + 8}{5} = \frac{19}{5} \]

3. Convert the result back to a mixed number: \[ \frac{19}{5} = 3 \frac{4}{5} \]

Therefore, the sum of \(2 \frac{1}{5}\) and \(1 \frac{3}{5}\) is \(3 \frac{4}{5}\).

The correct response is: 3 and 4 fifths.