Question

Multiply:
ii) $1\frac{1}{8}$ and $10\frac{2}{3}$

Answer 1

Step 1: Converting the mixed fraction into
an improper fraction

Given : $1\frac{1}{8}=\frac{1\times 8+1}{8}=\frac{9}{8}$
$10\frac{2}{3}=\frac{10\times 3+2}{3}=\frac{32}{3}$

Step: 2 Finding the product of given
numbers
$1\frac{1}{8}\times 10\frac{2}{3}=\frac{9}{8}\times \frac{32}{3}$
Product of two rational numbers
$=\frac{Productofthenumerators}{Productofthedenominators}$
$=\frac{9\times 32}{8\times 3}$
$=\frac{3\times 3\times 8\times 4}{8\times 3}$
$=3\times 4$
$=12$
Hence, the required product is $12$.