Question

If the fraction 4+1/m+1/n is equivalent to the fraction 56/12 then the value of m+n where m and n are integers is

Answer 1

Answer:

The possible values of m and n are 2 and 6

Step-by-step explanation:

It is given that,

4+1/m+1/n is equivalent to the fraction 56/12

4 + 1/m + 1/n = 56/12

To find  the values of m and n

Multiply each term by 12mn

48mn + 12n + 12m = 56mn

12(m + n) = 8mn

(m + n)/mn = 8/12

The sum is 8 and product is 12

Therefore the possible values of m and n are 2 and 6