Question

mayumi rides her bike around a park. each lap around the park is \\(\frac{2}{3}\\) mi. mayumi rides a total of 3 mi. how many laps around the park does mayumi ride? you can use the model to help. \\(3 \div \frac{2}{3} = \square\\)

Explanation:

Step1: Rewrite division as multiplication

To divide by a fraction, multiply by its reciprocal:
$3 \div \frac{2}{3} = 3 \times \frac{3}{2}$

Step2: Calculate the product

Multiply the whole number by the numerator:
$3 \times \frac{3}{2} = \frac{9}{2}$

Step3: Simplify to mixed number (optional, intuitive for laps)

$\frac{9}{2} = 4\frac{1}{2}$

Answer:

$\frac{9}{2}$ or $4\frac{1}{2}$