Question

1. $21\frac{3}{4}$ meters in $2\frac{1}{2}$ hours

Explanation:

Step1: Convert mixed numbers to improper fractions

$21\frac{3}{4} = \frac{21\times4 + 3}{4} = \frac{87}{4}$
$2\frac{1}{2} = \frac{2\times2 + 1}{2} = \frac{5}{2}$

Step2: Calculate unit rate (distance ÷ time)

$\frac{87}{4} \div \frac{5}{2} = \frac{87}{4} \times \frac{2}{5}$

Step3: Simplify the expression

$\frac{87 \times 2}{4 \times 5} = \frac{87}{10}$

Step4: Convert back to mixed number

$\frac{87}{10} = 8\frac{7}{10}$

Answer:

$8\frac{7}{10}$ meters per hour