Question

for 3-10, draw an area model or use fraction strips to solve each problem.

1. $\frac{3}{5} = \frac{square}{10}$
2. $\frac{3}{6} = \frac{square}{12}$
3. $\frac{4}{10} = \frac{square}{5}$
4. $\frac{3}{4} = \frac{square}{8}$
5. $\frac{5}{10} = \frac{1}{square}$
6. $\frac{4}{6} = \frac{square}{12}$
7. $\frac{5}{5} = \frac{square}{10}$
8. $\frac{1}{2} = \frac{6}{square}$

Explanation:

Problem 3: $\boldsymbol{\frac{3}{5} = \frac{\square}{10}}$

Step1: Find the multiplier.

To get from 5 to 10 in the denominator, we multiply by 2 (since $5\times2 = 10$).

Step2: Multiply the numerator.

Multiply the numerator 3 by 2: $3\times2 = 6$. So $\frac{3}{5}=\frac{6}{10}$.

Step1: Find the multiplier.

To get from 6 to 12 in the denominator, we multiply by 2 (since $6\times2 = 12$).

Step2: Multiply the numerator.

Multiply the numerator 3 by 2: $3\times2 = 6$. So $\frac{3}{6}=\frac{6}{12}$.

Step1: Find the divisor.

To get from 10 to 5 in the denominator, we divide by 2 (since $10\div2 = 5$).

Step2: Divide the numerator.

Divide the numerator 4 by 2: $4\div2 = 2$. So $\frac{4}{10}=\frac{2}{5}$.

Answer:

6

Problem 4: $\boldsymbol{\frac{3}{6} = \frac{\square}{12}}$