Use a common denominator to write an equivalent fraction for each fraction. $$ \begin{array}{ll} ext { 1. } \frac{1}{2} ext { and } \frac{3}{8} & ext { 2. } \frac{7}{9} ext { and } \frac{2}{3}\end{array} $$

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Use a common denominator to write an equivalent fraction for each fraction. $$ \begin{array}{ll}	ext { 1. } \frac{1}{2} 	ext { and } \frac{3}{8} & 	ext { 2. } \frac{7}{9} 	ext { and } \frac{2}{3}\end{array} $$

UpStudy AI · Accepted Answer

Sure! Let's find equivalent fractions with a common denominator for each pair.

### 1. $$ \frac{1}{2} $$ and $$ \frac{3}{8} $$

**Step 1: Find the Least Common Denominator (LCD)**
- The denominators are 2 and 8.
- The LCD of 2 and 8 is **8**.

**Step 2: Convert each fraction to have the LCD as the denominator**
- $$ \frac{1}{2} = \frac{1 	imes 4}{2 	imes 4} = \frac{4}{8} $$
- $$ \frac{3}{8} $$ already has the denominator 8.

**Equivalent Fractions:**
- $$ \frac{4}{8} $$ and $$ \frac{3}{8} $$

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### 2. $$ \frac{7}{9} $$ and $$ \frac{2}{3} $$

**Step 1: Find the Least Common Denominator (LCD)**
- The denominators are 9 and 3.
- The LCD of 9 and 3 is **9**.

**Step 2: Convert each fraction to have the LCD as the denominator**
- $$ \frac{7}{9} $$ already has the denominator 9.
- $$ \frac{2}{3} = \frac{2 	imes 3}{3 	imes 3} = \frac{6}{9} $$

**Equivalent Fractions:**
- $$ \frac{7}{9} $$ and $$ \frac{6}{9} $$

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**Summary:**
1. $$ \frac{1}{2} = \frac{4}{8} $$ and $$ \frac{3}{8} = \frac{3}{8} $$
2. $$ \frac{7}{9} = \frac{7}{9} $$ and $$ \frac{2}{3} = \frac{6}{9} $$
To write equivalent fractions with a common denominator: 1. **1/2 and 3/8** - Common denominator: 8 - Equivalent fractions: 4/8 and 3/8 2. **7/9 and 2/3** - Common denominator: 9 - Equivalent fractions: 7/9 and 6/9

Use a common denominator to write an equivalent fraction for each fraction.

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