Question

The product of $\frac{-5}{17}$ and $\frac{a}{b}$ = 1 , then $\frac{a}{b}$ = ___ and $\frac{-5}{17}$ are ___of each other.

• A. 5/13
• B. -15/51
• C. $\frac{5}{17}$ , additive inverse
• D. $\frac{-5}{-17}$ , product

Answer 1

The correct option is A

5/13

The product of $\frac{-5}{17}$ and $\frac{a}{b}$ = 1

$\therefore$ $\frac{-5}{17}$ $\times$ $\frac{a}{b}$ = 1

$\frac{a}{b}$ = 1 $\times$ $\frac{-17}{5}$

$\therefore$ $\frac{a}{b}$ = $\frac{-17}{5}$

When the product of two rational numbers is 1, then they are called mulitiplicative inverse of each other.

$\therefore$ $\frac{-17}{5}$ and $\frac{-5}{17}$ are multiplicative inverse of each other