Question

the numerator and the denominator of a fraction are in the ratio 4:7.if 8 is added to the numerator then the number which is added to the denominatorfor the fraction to be equivalent to the original fraction is

Answer 1

let x be the desired number

initial fraction 4:7

we add 8 to the numerator which becomes 4+8 =12

we are looking for the denominator of the new fraction equivalent to 4:7

4:7=12:x

12*7 = 4*x

84= 4x

x=84/4=21

fraction equivalent to 4:7 = 12:21

(we are in the same 4:7 ratio)

Explanation: