Question

3/13 x 4/5 - 7/5 -4/5x 5/13 class 8 cbse first chapter appropriate properties question

Answer 1

Answer:

$\frac{3}{13}\times \frac{4}{5}-\frac{7}{5}-\frac{4}{5}\times \frac{5}{13}=-\frac{99}{65}\quad \left(\mathrm{Decimal:\quad }\:-1.52307\dots \right)$

Step-by-step explanation:

$\frac{3}{13}\times \frac{4}{5}-\frac{7}{5}-\frac{4}{5}\times \frac{5}{13}$

$=\frac{12}{65}-\frac{7}{5}-\frac{4}{13}$

$=\frac{12}{65}-\frac{91}{65}-\frac{20}{65}$

$\mathrm{Apply\:the\:fraction\:rule:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}}$

$=\frac{12-91-20}{65}$

$\mathrm{Add\:the\:numbers:}\:12-91-20=-99$

$=\frac{-99}{65}$

$\mathrm{Apply\:the\:fraction\:rule:\quad \frac{-a}{b}=-\frac{a}{b}}$

$=-\frac{99}{65}$