Question

activity 1
find the product by looking at the area model.
model (\frac{2}{5} cdot \frac{3}{4})
answer: (\frac{6}{20})

1. (\frac{1}{2} cdot \frac{3}{4})
2. (\frac{1}{4} cdot \frac{2}{5})
3. (\frac{3}{4} cdot \frac{2}{3})
4. (\frac{1}{3} cdot \frac{1}{2})

Explanation:

Step1: Multiply numerators, denominators

$\frac{1}{2} \cdot \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}$

Step2: Multiply numerators, denominators

$\frac{1}{4} \cdot \frac{2}{5} = \frac{1 \times 2}{4 \times 5} = \frac{2}{20} = \frac{1}{10}$

Step3: Multiply numerators, denominators

$\frac{3}{4} \cdot \frac{2}{3} = \frac{3 \times 2}{4 \times 3} = \frac{6}{12} = \frac{1}{2}$

Step4: Multiply numerators, denominators

$\frac{1}{3} \cdot \frac{1}{2} = \frac{1 \times 1}{3 \times 2} = \frac{1}{6}$

Answer:

1. $\frac{3}{8}$
2. $\frac{1}{10}$
3. $\frac{1}{2}$
4. $\frac{1}{6}$