Question

1. a model of a house is built on a base measures $7\frac{3}{4}$ in. wide and $9\frac{1}{5}$ in. long. what is the area of the model house base?

Explanation:

Step1: Convert mixed numbers to fractions

$7\frac{3}{4} = \frac{7\times4 + 3}{4} = \frac{31}{4}$
$9\frac{1}{5} = \frac{9\times5 + 1}{5} = \frac{46}{5}$

Step2: Multiply the two fractions

$\text{Area} = \frac{31}{4} \times \frac{46}{5} = \frac{31\times46}{4\times5}$

Step3: Simplify the calculation

$\frac{31\times46}{20} = \frac{1426}{20} = \frac{713}{10}$

Step4: Convert to mixed number

$\frac{713}{10} = 71\frac{3}{10}$

Answer:

$71\frac{3}{10}$ square inches