Question

What rational number should be subtracted from the sum of 3/14 and -4/7 to get 13/21

Answer 1

Let the rational number be 'a'

'a' should be subtracted from the sum of 3/14 and -4/7 to get 13/21

{3/14 + (-4/7)} - a = 13/21

(3/14 - 4/7) - a = 13/21

(3-8)/14 - a = 13/21

(-5/14) - a = 13/21

-5/14 - 13/21 = a

a = -(5/14 + 13/21)

a = - (15+26)/42

a = - 41/42