Question

jariah walks $2\frac{1}{2}$ miles in $\frac{3}{4}$ of an hour. if jariah continues at this rate, how far will she walk in 1 hour?
now, represent $2\frac{1}{2}$ as a fraction greater than 1.
$2\frac{1}{2} \div \frac{3}{4}$
$=2\frac{1}{2} \cdot \frac{4}{3}$
$=\frac{\square}{\square} \cdot \frac{4}{3}$

time (hours)	$\frac{3}{4}$	1

$\div \frac{3}{4}$ (above the time column from $\frac{3}{4}$ to 1)
$\div \frac{3}{4}$ (below the distance column from $2\frac{1}{2}$ to ?)

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{1}{2} = \frac{5}{2}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{5}{2} \div \frac{3}{4} = \frac{5}{2} \times \frac{4}{3}$

Step3: Simplify and multiply fractions

$\frac{5 \times 4}{2 \times 3} = \frac{20}{6} = \frac{10}{3}$

Step4: Convert back to mixed number (optional)

$\frac{10}{3} = 3\frac{1}{3}$

Answer:

Jariah will walk $\frac{10}{3}$ or $3\frac{1}{3}$ miles in 1 hour.