Question

2 1/3 + 1 4/5 =

Answer 1

To add the mixed numbers \( 2 \frac{1}{3} \) and \( 1 \frac{4}{5} \), we can follow these steps:

1. Convert the mixed numbers to improper fractions.
- \( 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \)
- \( 1 \frac{4}{5} = \frac{1 \times 5 + 4}{5} = \frac{5 + 4}{5} = \frac{9}{5} \)

2. Now add the two fractions, \( \frac{7}{3} \) and \( \frac{9}{5} \).
- To do this, we need a common denominator. The least common multiple of 3 and 5 is 15.

- Convert each fraction:
- \( \frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15} \)
- \( \frac{9}{5} = \frac{9 \times 3}{5 \times 3} = \frac{27}{15} \)

3. Now add the two fractions:
\[
\frac{35}{15} + \frac{27}{15} = \frac{35 + 27}{15} = \frac{62}{15}
\]

4. Convert \( \frac{62}{15} \) back to a mixed number:
- Divide 62 by 15. The quotient is 4 and the remainder is 2.
- Thus, \( \frac{62}{15} = 4 \frac{2}{15} \).

So, \( 2 \frac{3}{3} + 1 \frac{4}{5} = 4 \frac{2}{15} \).