Question

2+1/3+2/5+4 /3+1/5 find value

Answer 1

Step-by-step explanation:

$2 + \frac{1}{3} + \frac{2}{5} + \frac{4}{3} + \frac{1}{5} \\ \\ = 2 + (\frac{1}{3} +\frac{4}{3}) + (\frac{2}{5} + \frac{1}{5}) \\ \\ = 2 + \frac{1 + 4}{3} + \frac{2 + 1}{5} \\ \\ = 2 + \frac{5}{3} + \frac{3}{5} \\ \\ = 2 + \frac{5 \times 5 + 3 \times 3}{3 \times 5} \\ \\ = 2 + \frac{25 + 9}{15} \\ \\ = \frac{2 \times 15 + 34}{15} \\ \\ = \frac{30 + 34}{15} \\ \\ = \frac{64}{15} \\ \\ = 4 \frac{4}{15} \\ \\ thus \\ \\ \purple{\boxed{2 + \frac{1}{3} + \frac{2}{5} + \frac{4}{3} + \frac{1}{5} = 4 \frac{4}{15} }}$