Question

What rational number should be subtracted from the additive inverse of 4/7 to obtain the multiplicative inverse of 5/9?

Answer 1

Step-by-step explanation:

1. Subtract 2/5 from 4/7

Solution:

The additive inverse of 2/5 is -2/5

Therefore, 4/7 - 2/5 = 4/7 + (-2/5)

⇒ 4/7 - 2/5 = 4 × 5/7 × 5 + (-2) × 7/5 × 7

                = 20/35 + -14/35

                = 20 + (-14)/35

                = 6/35

Therefore, 4/7 - 2/5 = 6/35