Question

activity 4 • distributed practice

1. $4 \cdot \frac{2}{3}$ 2. $3 \cdot \frac{2}{5}$ 3. $\frac{2}{3} - \frac{1}{4}$ 4. $\frac{2}{3} + \frac{1}{5}$ 5. $\frac{3}{4} + \frac{7}{4}$

Explanation:

Step1: Multiply integer and fraction

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

Step2: Multiply integer and fraction

$3 \cdot \frac{2}{5} = \frac{3 \times 2}{5} = \frac{6}{5}$

Step3: Subtract fractions (find common denominator)

$\frac{2}{3} - \frac{1}{4} = \frac{8}{12} - \frac{3}{12} = \frac{8-3}{12} = \frac{5}{12}$

Step4: Add fractions (find common denominator)

$\frac{2}{3} + \frac{1}{5} = \frac{10}{15} + \frac{3}{15} = \frac{10+3}{15} = \frac{13}{15}$

Step5: Add like fractions

$\frac{3}{4} + \frac{7}{4} = \frac{3+7}{4} = \frac{10}{4} = \frac{5}{2}$

Answer:

1. $\frac{8}{3}$
2. $\frac{6}{5}$
3. $\frac{5}{12}$
4. $\frac{13}{15}$
5. $\frac{5}{2}$