Question

write a fraction for witch the sum of the numerator and denominator is 20 and the value of the fraction is equal to 2/3

Answer 1

Answer:

8/12

Step-by-step explanation:

Let the numerator and denominator be x and y respectively.

So, according to the question,

x + y = 20. -----eq (i)

x/y = 2/3. -----eq (ii)

From eq (ii), we get

3x = 2y. ------eq(iii)

Multiply equation (i) by 2, we get

2x + 2y = 40

Replacing 2y by 3x

2x + 3x = 40 = 5x

x = 8

y = 12