Question

If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e.

Answer 1

Answer:

858/5

Step-by-step explanation:

Given  

If 1535/1038 = a+1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e.

So consider the fraction

1535 / 1038

= 1 + 497 / 1038

= 1 + 1 / 1038 / 497

= 1 + 1 / 2 + 44/497

= 1 + 1 / 2 + 1 / 2 + 1 / 497 / 44

= 1 + 1 / 2 + 1 / 11 + 13/44

= 1 + 1 / 2 + 1 / 11 + 44/13

= 1 + 1 / 2 + 1 / 11 + 1 / 3 + 5/13

Comparing the equation on R H S we get

a = 1, b = 2, c = 11, d = 3, 1/e = 5/13 or e = 13/5

a x b x c x d x e = 1 x 2 x 11 x 3 x 13/5 = 858/5