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? you need to divide $\frac{3}{4}$ of an hour by $\frac{3}{4}$ to find 1 hour. to keep the ratio the same, you also need to divide $2\frac{1}{2}$ miles by $\frac{3}{4}$. start by writing $2\frac{1}{2} \div \frac{3}{4}$ as a multiplication expression. $=2\frac{1}{2} \cdot \frac{\square}{\square}$ (chart: time (hours) has $\frac{3}{4}$ and 1; distance (miles) has $2\frac{1}{2}$ and?; both divided by $\frac{3}{4}$)

Explanation:

Step1: Convert mixed number to improper fraction

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

Step2: Rewrite division as multiplication

Dividing by a fraction is multiplying by its reciprocal:
$2\frac{1}{2} \div \frac{3}{4} = \frac{5}{2} \times \frac{4}{3}$

Step3: Multiply numerators and denominators

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

Step4: Simplify the fraction

$\frac{20}{6} = \frac{10}{3} = 3\frac{1}{3}$

Answer:

Jariah will walk $3\frac{1}{3}$ miles in 1 hour.
The multiplication expression is $2\frac{1}{2} \times \frac{4}{3}$