Simplifiable

Let us take two fractions ab\dfrac{a}{b} and cd\dfrac{c}{d}, where a,b,ca,b,c and dd are pairwise coprime positive integers.

When is ad+cbbd\dfrac{ad+cb}{bd} simplifiable? That is, when the numerator and denominator are divisible by the same number? Find the number of all such quadruplets (a,b,c,d)(a,b,c,d) where a,b,c,d<16a,b,c,d<16.

×

Problem Loading...

Note Loading...

Set Loading...