Question

evaluate the following​

Answer 1

Solution :

Case 1

$\implies \sf 1\frac{5}{7} \times \bigg( \frac{1}{4} - \frac{1}{9}\bigg) \div \bigg( - 1 \frac{1}{4}\bigg) \\ \\\implies \sf \frac{12}{7} \times \bigg( \frac{9 - 4}{36} \bigg) \div \bigg( - \frac{5}{4}\bigg) \\ \\\implies \sf \frac{12}{7} \times \frac{5}{36} \times \bigg( - \frac{4}{5} \bigg) \\ \\\implies \sf \frac{4}{7} \times \frac{1}{3} \times ( - 1) \\ \\ \large \implies \boxed{ \boxed{\sf - \frac{4}{21}}}$

Case 2

$\implies \sf\bigg( - \frac{2}{3}\bigg) \times \bigg( - \frac{9}{8}\bigg) + \bigg( - \frac{7}{4}\bigg) \times \frac{2}{21} \\ \\\implies \sf ( - 1) \times \bigg( - \frac{3}{4} \bigg) +\bigg ( - \frac{1}{2} \bigg) \times \frac{1}{3} \\ \\ \implies \sf \frac{3}{4} +\bigg ( - \frac{1}{6}\bigg ) \\ \\\implies \sf \frac{3}{4} - \frac{1}{6} \\ \\\implies \sf \frac{9 - 2}{12} \\ \\ \large \implies \boxed{ \boxed{\sf \frac{7}{12} }}$