## Jan’s Method

## Work Time

# Jan’s Method

Jan wants to find 2 ÷ $\frac{3}{5}$.

She makes the model pictured below. She reasons:

“To find 2 ÷ $\frac{3}{5}$, I made a model with 2 wholes and divided each whole into fifths. Then I shaded groups of 3 fifths. There are 3 groups of 3 fifths and $\frac{1}{3}$ of a group of 3 fifths left over.

So, 2 ÷ $\frac{3}{5}$ = 3$\frac{1}{3}$.”

- Discuss Jan’s method with your partner. Then try to explain it in your own words.
- Carlos thinks the answer is 3$\frac{1}{5}$ because $\frac{1}{5}$ of a whole is left over. Explain why his reasoning is incorrect.

Ask yourself:

- What value does each equal group in the model represent?
- What fraction of an equal group is left over?