Question

Multiply:

vii) $5\frac{1}{8}$ and $-16$

Answer 1

Step: 1 Converting the mixed fraction into an
improper fraction
Given: $5\frac{1}{8}=\frac{5\times 8+1}{8}=\frac{41}{8}$

Step: 2 Finding the product of given
numbers
Given, $5\frac{1}{8}\times -16$
$=\frac{41}{8}\times \frac{-16}{1}$
$\because$ Product of two rational numbers
$=\frac{\text{Product of the numerators}}{\text{Product of the denominators}}$
$=-\frac{41\times 8\times 2}{8}=-41\times 2=-82$
Hence, the required product is $-82$.