# Carlos’s Method

## Work Time

# Carlos’s Method

Carlos knows that division and multiplication are inverse operations. He knows, for example, that dividing by 4 is the same as multiplying by $\frac{1}{4}$. He thinks that he can use this inverse relationship to help him divide a fraction by a whole number.

To solve $\frac{8}{9}$ ÷ 4, Carlos writes the expression $\frac{8}{9}$ × $\frac{1}{4}$. He multiplies to get $\frac{8}{36}$, and then simplifies $\frac{8}{36}$ to the equivalent fraction $\frac{2}{9}$. Carlos writes this answer: $\frac{8}{9}$ ÷ 4 = $\frac{2}{9}$.

- Use Carlos’s method to solve $\frac{9}{5}$ ÷ 3.
- Use multiplication to check your answer.