Question

Divide the sum of
$\frac{ - 5}{8} and \frac{3}{7}$
by their difference
​

Answer 1

Answer:

$\green{\boxed{\boxed{\bold{\dfrac{139}{121}}}}}</p><p>$

$\bf \orange{Step-by-step \: explanation:</p><p>}$

$\begin{gathered} \sf{Given \; numbers} \; = \dfrac{65}{12} \; and \; \dfrac{3}{8}\\\\\\\text \green{Sum of numbers = } \dfrac \pink{65} \pink{12} + \dfrac \red{3} \red{8}\\\\\\= \dfrac{260 + 18}{48}\\\\\\= \dfrac{278}{48}\\\\\\= \dfrac{139}{24}\\\\\\\text{Now, difference between the numbers = } \dfrac{65}{12} - \dfrac{3}{8}\\\\\\= \dfrac{130 - 9}{24}\\\\\\= \dfrac{121}{24}\\\\\\\text{Now, dividing sum by difference, we get}\\\\\\\dfrac{139}{24} \div \dfrac{121}{24}\\\\\\=\dfrac{139 \times 24}{24 \times 121}\\\end{gathered} </p><p>$

$</p><p> \green{\boxed{\boxed{\bold{= \dfrac{139}{121}}}}}</p><p>$

Answer 2

Answer:

sum of

12

65

and

7

12

12

65

+

7

12

=

12×7

65×7+12×12

=

84

599

......................(1)

difference of

12

65

and

7

12

12

65

−

7

12

=

84

65×7−12×12

=

84

311

=

84

311

.........................(2)

divide the sum with difference i.e.

dividing equation (1) with equation (2)

=

84

311

84

599

=

311

599