Question

1. the area of the blacktop is $10\frac{1}{8}$ yds². if the length is $3\frac{3}{5}$ yds, what is the width?

Explanation:

Step1: Convert mixed numbers to improper fractions

Area: $10\frac{1}{8} = \frac{10\times8 + 1}{8} = \frac{81}{8}$ yds²
Length: $3\frac{3}{5} = \frac{3\times5 + 3}{5} = \frac{18}{5}$ yds

Step2: Use area formula for rectangle

Area = Length × Width, so Width = $\frac{\text{Area}}{\text{Length}}$
Substitute values: $\text{Width} = \frac{81}{8} \div \frac{18}{5}$

Step3: Divide fractions (multiply by reciprocal)

$\text{Width} = \frac{81}{8} \times \frac{5}{18} = \frac{81\times5}{8\times18}$
Simplify: $\frac{405}{144} = \frac{45}{16}$

Step4: Convert back to mixed number

$\frac{45}{16} = 2\frac{13}{16}$

Answer:

$2\frac{13}{16}$ yards