Question

What must be added to each of the numerator and the denominator of the fraction 2/5 to obtain 2/3?​

Answer 1

Let the number be = x
One of the number = 2/5
Sum of them = 2/3


x + 2/5 = 2/3
x = 2/3 - 2/5
x = 2(5) - 2(3) / 3(5)
x = 10 - 6 / 15
x = 4 / 15


The fraction that has to be added is 4 / 15

Answer 2

Answer:

let the no. be x

2+x/5+x=2/3

by cross multiplication we'll get

3(2+x)= 2(5+x)

6+3x= 10+2x

by transposing the terms

3x-2x=10-6

x=4

Hence, the required number that should be added to the numerator and denominator of the fraction 2/5 to obtain 2/3 is 4