Question

divide the sum of 4/13 and -3/2 by their product ​

Answer 1

Step-by-step explanation:

Sum of 4/13 and -3/2

=8/26-39/26

=-31/26

Product of 4/13 and -3/2

=(4×-3)/(13×2)

=-12/26

And your answer is (-31/26)÷(-12/26)

=31/12

Answer 2

First let us find out sum

$\frac{4}{13} + \frac{ - 3}{2}$

$= \frac{(4 \times 2) + ( - 3 \times 13)}{26}$

$= \frac{8 - 39}{26}$

$= \boxed{ \frac{ - 31}{26} }$

Now let us find out the product

$\frac{4}{13} \times \frac{ - 3}{2}$

$= \frac{ {- 12}}{26}$

$= \boxed{\frac{ - 6}{13}}$

Dividing sum by product

$\frac{ - 31}{26} \div \frac{ - 12}{26} \\ = \frac{ - 31}{26} \times \frac{26}{ - 12} \\ = \frac{ - 31}{ - 12} \\ = \boxed{ \frac{31}{12} }$

$\therefore$ The answer is ³¹/₁₂