Question

solve the fraction 1 3/5 × (4/3 - 3/4 + 2 1/3) ÷ 1 2/7​

Answer 1

➤ Answer :-

$\dashrightarrow \sf1 \frac{3}{5} \times \bigg( \frac{4}{3} - \frac{3}{4} + 2 \frac{1}{3} \bigg) \div 1 \frac{2}{7}$

$\dashrightarrow \sf \frac{8}{5} \times \frac{4}{3} - \frac{3}{4} + \frac{7}{3} \div \frac{9}{7}$

$\dashrightarrow \sf \frac{8}{5} \times \frac{4}{3} - \frac{3}{4} + \frac{7}{3} \times \frac{7}{9}$

$\dashrightarrow \sf \frac{8 \times 4}{5 \times 3} - \frac{3}{4} + \frac{7 \times 7}{3 \times 9}$

$\dashrightarrow \sf \frac{32}{15} - \frac{3}{4} + \frac{49}{27}$

LCM of 15,4 and 27 is 1620.

$\dashrightarrow \sf \frac{32 \times 108}{35 \times 108} - \frac{3 \times 405}{4 \times 305} + \frac{49 \times 60}{27 \times 60}$

$\dashrightarrow \sf \frac{3456}{1620} - \frac{1215}{1620} + \frac{2940}{1620}$

$\dashrightarrow \sf \frac{3456 - 1215 + 2940}{1620}$

$\dashrightarrow \sf \frac{5181}{1620} = 3 \frac{321}{1620}$

$\Huge\therefore$The answer is $\sf 3 \frac{321}{1620}$