Question

By using the following clues, find who am I?

i) Each of my numerator and denominator is a single digit number.
ii) The sum of my numerator and denominator is a multiple of 3.
iii) The product of my numerator and denominator is a multiple of 4.

Answer 1

The numerator may be any one of 1, 2, 3, 4, 5, 6, 7, 8, 9 and the denominator may be any one of 1, 2, 3, 4, 5, 6, 7, 8, 9.

Sum of numerator and denominator is a multiple of 3.

∴ Possible proper fractions are `1/2, 1/5, 1/8, 2/4, 2/7, 3/6, 3/9, 4/5, 4/8, 5/7, 6/9`

Also given the product of numerator and denominator is a multiple of 4.

∴ Possible fractions are `1/8, 2/4, 4/5, 4/8`