Question

find the reciprocal of 3/4-2/5÷(-4/25)×7/15+2/3

Answer 1

3/4 -2/5÷(-4/25)×7/15+2/3=> 3/4- 2/5(-25/4)×7/15+2/3=> 3/4 +5/2×7/15+2/3=> 3/4 +7/6+2/3 =>3(3)+7(2)+2(4)/12 => 9+14+8/12=> 31/12

Answer 2

$\frac{3}{4} - \frac{2}{5} \div \frac{ - 4}{25} \times \frac{7}{15} + \frac{7}{15} + \frac{2}{3} \\ = \frac{3}{4} + \frac{5}{2} \times \frac{7}{15} + \frac{7}{15} + \frac{2}{3} \\ = \frac{3 }{4} + \frac{7}{6} + \frac{7}{15} + \frac{2}{3} = \frac{176}{60} \\ so \: its \: reciprocal \: is \: \frac{60}{176}$