## Compare Mia’s Methods

## Opening

# Compare Mia’s Methods

Emma runs on a $\frac{1}{4}$-mile track to train for a marathon. Yesterday Emma ran a total of 3 miles. How many times did she run around the track?

Mia decides to solve this problem using a model similar to the one she used to find $\frac{8}{9}\xf74$ in the previous lesson.

She reasons:

“I need to find the number of $\frac{1}{4}$ miles in 3 miles. So, I need to find 3 ÷ $\frac{1}{4}$.

“To make a model of this situation, I can draw a bar for each whole mile and then divide each bar into fourths.

“There are 12 fourths in all, so 3 ÷ $\frac{1}{4}$ = 12. Emma ran around the track 12 times.”

- Discuss Mia’s solution. How is her approach similar to the one she used to find $\frac{8}{9}\xf74$? How is it different?