1. $$ \frac{5}{7}-\frac{2}{3}= $$

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UpStudy AI · Accepted Answer

To solve the subtraction of two fractions $$ \frac{5}{7} - \frac{2}{3} $$, follow these steps:

### Step 1: Find a Common Denominator
To subtract fractions, they must have the same denominator. The denominators here are 7 and 3. The least common denominator (LCD) of 7 and 3 is **21**.

### Step 2: Convert Each Fraction to the Common Denominator
- **Convert $$ \frac{5}{7} $$ to a denominator of 21:**
  $$
  \frac{5}{7} = \frac{5 \times 3}{7 \times 3} = \frac{15}{21}
  $$
  
- **Convert $$ \frac{2}{3} $$ to a denominator of 21:**
  $$
  \frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21}
  $$

### Step 3: Subtract the Fractions
Now that both fractions have the same denominator, subtract the numerators:
$$
\frac{15}{21} - \frac{14}{21} = \frac{15 - 14}{21} = \frac{1}{21}
$$

### Final Answer
$$
\frac{5}{7} - \frac{2}{3} = \frac{1}{21}
$$
$$ \frac{5}{7} - \frac{2}{3} = \frac{1}{21} $$

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