Question

solve each problem using cuisenaire rods.

1. what is $\frac{1}{3} \cdot \frac{3}{4}$?
2. what is $\frac{1}{2} \cdot \frac{6}{8}$?
3. what is $\frac{1}{2} \cdot \frac{2}{3}$?

Explanation:

Step1: Multiply numerators, denominators

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

Step2: Simplify the fraction

$\frac{3}{12} = \frac{1}{4}$

Step1: Multiply numerators, denominators

$\frac{1}{2} \cdot \frac{6}{8} = \frac{1 \times 6}{2 \times 8}$

Step2: Simplify the fraction

$\frac{6}{16} = \frac{3}{8}$

Step1: Multiply numerators, denominators

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

Step2: Simplify the fraction

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

Answer:

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