## Mia’s Method

## Opening

# Mia's Method

Mia uses the following method to find $\frac{2}{3}\xf7\frac{1}{4}$:

“To find $\frac{2}{3}\xf7\frac{1}{4}$, I need to find the number of fourths in $\frac{2}{3}$. I can make a model of $\frac{2}{3}$, but I think it would be difficult to figure out the number of fourths in the model.

“I think the problem would be easier if both fractions had the same denominator. I can change the denominator of each fraction to 12 and rewrite the problem as $\frac{8}{12}\xf7\frac{3}{12}$.

“Now I can make a model of $\frac{8}{12}$ and then find the number of groups of 3 twelfths in my model.

“In my model there are 2 groups of 3 twelfths, with 23 of a group of 3 twelfths left over.

So, $\frac{2}{3}\xf7\frac{1}{4}=2\frac{2}{3}$.”

- Discuss Mia’s method with your partner and then with the class.