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What is the multiplicative inverse (reciprocal) of $- \frac{5}{9}$ ?

Class 8Properties of Rational NumbersNumber System

A $- \frac{9}{5}$
B $\frac{9}{5}$
C $\frac{5}{9}$
D $- \frac{5}{9}$

Step-by-Step Solution

The reciprocal of

\frac{a}{b}

is

\frac{b}{a}

. The reciprocal of

- \frac{5}{9}

is

- \frac{9}{5}

, and

(- \frac{5}{9}) \times (- \frac{9}{5}) = 1

.

Answer: A)

- \frac{9}{5}

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