Question

simplify:(13/15-3/5)÷(13/15+3/5)

Answer 1

hope it helps,,,,,,,,,

Answer 2

$( \frac{13}{15} - \frac{3}{5} ) \div ( \frac{13}{15} + \frac{3}{5} ) \\ \\ = \frac{(13 \times 5) - (3 \times 15)}{(15 \times 5)} \div ( \frac{13}{15} + \frac{3}{5} ) \\ \\ = \frac{(65 - 45)}{75} \div ( \frac{13}{15} + \frac{3}{5} ) \\ \\ = \frac{20}{75} \div ( \frac{13}{15} + \frac{3}{5} ) \\ \\ = \frac{(4 \times 5)}{(15 \times5) } \div ( \frac{13}{15} + \frac{3}{5} ) \\ \\ = \frac{4}{15} \div ( \frac{13}{15} + \frac{3}{5} ) \\ \\ = \frac{4}{15} \div \frac{(13 \times 5 )+ (3 \times 15)}{(15 \times 5)} \\ \\ = \frac{4}{15} \div \frac{(65 + 45)}{75} \\ \\ = \frac{4}{15} \div \frac{110}{75} \\ \\ = \frac{4}{15} \div \frac{(22\times 5)}{(15 \times 5)} \\ \\ = \frac{4}{15} \div \frac{22}{15 } \\ \\ = \frac{4}{15} \times \frac{15}{22} \\ \\ = \frac{(4 \times 15)}{(15 \times 22)} \\ \\ = \frac{4}{22} \\ \\ = \frac{(2 \times 2)}{(11 \times 2)} \\ \\ = \green{ \boxed{ \frac{2}{11} }}$