Question

Find the multiplicative inverse of $-1\frac{1}{8}$.

Answer 1

Step 1: Convert the mixed fraction into improper fraction

To convert a mixed fraction into an improper fraction, multiply the whole number with denominator and then add the numerator to the resultant value.

So, $-1\frac{1}{8}$ in improper fraction will be,

$$\begin{gathered} =-\frac{(1\times 8)+1}{8} \\ =-\frac{9}{8} \end{gathered}$$

Step 2: Evaluate the multiplicative inverse

The multiplicative inverse of number is represented by its reciprocal.

So, the reciprocal of $-\frac{9}{8}$ will be $-\frac{8}{9}$.

Therefore, the multiplicative inverse of $-\frac{9}{8}$ is $-\frac{8}{9}$.