Question

if the product of two positive fractions A and B is 15 / 56 find three pairs of possible values for a and b

Answer 1

15/56

15--------> we can obtain it by multiplying 3x5,5x3,1x15,15x1
56--------> we can obtain it by multiplying 8x7,4x14,2x28,7x8 a=3/8 b=5/7----------> a*b=(3*5)/(8*7)=15/56
a=5/4 b=3/14---------> a*b=(5*3)/(4*14)=15/56
a=1/2 b=15/28--------> a*b=(1*15)/(28*2)=15/56