Additive inverse of -5/9 is A. -9/5 B. 0

Question

Additive inverse of \(\frac{-5}{9}\) is

A. \(\frac{-9}{5}\)

B. 0

C. \(\frac{5}{9}\) 

D. \(\frac{9}{5}\)

Answer 1

Additive inverse of a number \(\frac{a}{b}\) is the number \(-\frac{a}{b}\) such that, \(\frac{a}{b}+(\frac{-a}{b})=0\)

Therefore,

Additive inverse of \(\frac{-5}{9}\) is \(\frac{5}{9}\)

Answer 2

C.) 5/9

As the sum of additive inverse is always zero. Let the add. inv. be x. Then,

 -5/9 + x=0

x=5/9

Hope it helps.