Question

Divide the sum of -3/2 and 4/7 by the product of -9/13 and -8/9​

Answer 1

Answer:

refer to the attachment

Step-by-step explanation:

JAI SHREE KRISHNA

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

Firstly, we will add $\sf{\frac{-3}{2} \: and \: \frac{4}{7}}$

So, A.T.Q

$\sf{→ \frac{-3}{2} + \frac{4}{7}} \\ \\ \sf{→ \frac{-21 + 8}{14}} \\ \\ \sf{→\frac{13}{14}.....(1)}$

$\rule{200}{1}$

Now, Product of $\sf{\frac{-9}{13} \: and \frac{-8}{9}}$

$\sf{→ \frac{-\cancel{9}}{13} \times \frac{-8}{\cancel{9}}} \\ \\ \sf{→ \frac{-(-8)}{13}} \\ \\ \sf{→ \frac{8}{13}......(2)}$

$\rule{200}{2}$

Now, Devide equation (1) by equation (2).

$\sf{→\frac{13}{14} \div \frac{8}{13}} \\ \\ \sf{→\frac{\frac{\frac{13}{14}}{8}}{13}} \\ \\ \sf{→\frac{13 \times 13}{8 \times 14}} \\ \\ \sf{→\frac{169}{112}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{\frac{169}{112}}}}}}$

$\Large\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\sf{Jai \: Shree \: Krishna}}}}}}}}}}}}$