Question

Divide the sum of 25/12and 4/9 by their difference

Answer 1

Answer:

25–1/12

24/12

12/6

2 is the answer

4–1/9

3/9

1/3

3 is the answer

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Answer 2

Step-by-step explanation:

Sum

$\sf \dfrac{25}{12}+ \dfrac{4}{9}= \dfrac{75+16}{36}= \dfrac{91}{36}$

Difference

$\sf \dfrac{25}{12}- \dfrac{4}{9}= \dfrac{75-16}{36} = \dfrac{59}{36}$

Dividing the sum and difference

$\sf \dfrac{91}{36} \div \dfrac{59}{36} = \dfrac{91}{36} \times \dfrac{36}{59} = \dfrac{91}{59}$

Additional Information

You can also use the formula for it.

$\sf \dfrac{x+y}{z} \div \dfrac{x-y}{z} = \dfrac{(x+y)}{(x-y)}$