Question

activity 3 • distributed practice solve. 1. \\(\frac{1}{2}+\frac{1}{4}\\) 2. \\(\frac{3}{5}-\frac{1}{5}\\) 3. \\(\frac{4}{6}-\frac{1}{3}\\) 4. \\(\frac{1}{6}+\frac{1}{9}\\) 5. \\(\frac{4}{8}+\frac{2}{8}\\) 6. \\(\

$$\begin{array}{r}2,007\\\\ - 1,992\\\\ \\hline\\end{array}$$

\\) 7. \\(\

$$\begin{array}{r}4,957\\\\ + 2,153\\\\ \\hline\\end{array}$$

\\) 8. \\(\

$$\begin{array}{r}153\\\\ \\times 6\\\\ \\hline\\end{array}$$

\\)

Explanation:

Step1: Find common denominator, add

$\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$

Step2: Subtract like fractions

$\frac{3}{5} - \frac{1}{5} = \frac{3-1}{5} = \frac{2}{5}$

Step3: Simplify, find common denominator, subtract

$\frac{4}{6} - \frac{1}{3} = \frac{4}{6} - \frac{2}{6} = \frac{2}{6} = \frac{1}{3}$

Step4: Find common denominator, add

$\frac{1}{6} + \frac{1}{9} = \frac{3}{18} + \frac{2}{18} = \frac{5}{18}$

Step5: Add like fractions, simplify

$\frac{4}{8} + \frac{2}{8} = \frac{6}{8} = \frac{3}{4}$

Step6: Subtract whole numbers

$2007 - 1992 = 15$

Step7: Add whole numbers

$4957 + 2153 = 7110$

Step8: Multiply whole numbers

$153 \times 6 = 918$

Answer:

1. $\frac{3}{4}$
2. $\frac{2}{5}$
3. $\frac{1}{3}$
4. $\frac{5}{18}$
5. $\frac{3}{4}$
6. $15$
7. $7110$
8. $918$