Question

find 5/12-(7/15-9/20 ​

Answer 1

Answer:

$\frac{5}{12} - ( \frac{7}{15} - \frac{9}{20} ) \\ \\ = lcm \: \: of \: \: 15 \: \: and \: 20 = 60 \\ \\ = \frac{7 \times 4}{15 \times 4} - \frac{9 \times 3}{20 \times 3} = \frac{28}{60} - \frac{27}{60} = \frac{1}{60}$

$= \frac{5}{12} - \frac{1}{60} \\ \\ = \frac{5 \times 5}{12 \times 5} - \frac{1}{60} = \frac{25}{60} - \frac{1}{60} \\ \\ = \frac{24}{60} = \frac{2}{5}$