Question

independent practice
leveled practice in 7–16, find each difference.
7.
\

$$\begin{align*} \\frac{1}{4} &= \\frac{\\square}{8}\\\\ -\\frac{1}{8} &= \\frac{\\square}{8}\\\\ \\cline{1-2} & \\frac{\\square}{\\square} \\end{align*}$$

8.
\

$$\begin{align*} \\frac{2}{3} &= \\frac{\\square}{6}\\\\ -\\frac{1}{2} &= \\frac{\\square}{6}\\\\ \\cline{1-2} & \\frac{\\square}{\\square} \\end{align*}$$

9.
\

$$\begin{align*} \\frac{2}{3}\\\ -\\frac{5}{9}\\\\ \\cline{1-1} \\end{align*}$$

10.
\

$$\begin{align*} \\frac{4}{5}\\\ -\\frac{1}{4}\\\\ \\cline{1-1} \\end{align*}$$

11.
\

$$\begin{align*} \\frac{3}{2}\\\ -\\frac{7}{12}\\\\ \\cline{1-1} \\end{align*}$$

12.
\

$$\begin{align*} \\frac{6}{7}\\\ -\\frac{1}{2}\\\\ \\cline{1-1} \\end{align*}$$

1. $\frac{7}{10} - \frac{2}{5}$
2. $\frac{13}{16} - \frac{1}{4}$
3. $\frac{2}{9} - \frac{1}{6}$
4. $\frac{6}{5} - \frac{3}{8}$

Explanation:

Step1: Find common denominators for each problem

Convert fractions to equivalent forms with common denominators.

Step2: Subtract numerators

Subtract numerators while keeping denominators the same.

Step3: Simplify if needed

Reduce fractions to simplest form where applicable.

Problem 7

• $\frac{1}{4} = \frac{2}{8}$, $\frac{1}{8} = \frac{1}{8}$
• $\frac{2}{8} - \frac{1}{8} = \frac{1}{8}$

Problem 8

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

Problem 9

• $\frac{2}{3} = \frac{6}{9}$, $\frac{5}{9} = \frac{5}{9}$
• $\frac{6}{9} - \frac{5}{9} = \frac{1}{9}$

Problem 10

• $\frac{4}{5} = \frac{16}{20}$, $\frac{1}{4} = \frac{5}{20}$
• $\frac{16}{20} - \frac{5}{20} = \frac{11}{20}$

Problem 11

• $\frac{3}{2} = \frac{18}{12}$, $\frac{7}{12} = \frac{7}{12}$
• $\frac{18}{12} - \frac{7}{12} = \frac{11}{12}$

Problem 12

• $\frac{6}{7} = \frac{12}{14}$, $\frac{1}{2} = \frac{7}{14}$
• $\frac{12}{14} - \frac{7}{14} = \frac{5}{14}$

Problem 13

• $\frac{7}{10} = \frac{7}{10}$, $\frac{2}{5} = \frac{4}{10}$
• $\frac{7}{10} - \frac{4}{10} = \frac{3}{10}$

Problem 14

• $\frac{13}{16} = \frac{13}{16}$, $\frac{1}{4} = \frac{4}{16}$
• $\frac{13}{16} - \frac{4}{16} = \frac{9}{16}$

Problem 15

• $\frac{2}{9} = \frac{4}{18}$, $\frac{1}{6} = \frac{3}{18}$
• $\frac{4}{18} - \frac{3}{18} = \frac{1}{18}$

Problem 16

• $\frac{6}{5} = \frac{48}{40}$, $\frac{3}{8} = \frac{15}{40}$
• $\frac{48}{40} - \frac{15}{40} = \frac{33}{40}$

Answer:

1. $\frac{1}{8}$
2. $\frac{1}{6}$
3. $\frac{1}{9}$
4. $\frac{11}{20}$
5. $\frac{11}{12}$
6. $\frac{5}{14}$
7. $\frac{3}{10}$
8. $\frac{9}{16}$
9. $\frac{1}{18}$
10. $\frac{33}{40}$