Subtract. $$ \frac{2}{5}-\frac{1}{10}=\square $$

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UpStudy AI · Accepted Answer

To subtract the fractions $$\frac{2}{5}$$ and $$\frac{1}{10}$$, follow these steps:

1. **Find a Common Denominator:**
   - The denominators are 5 and 10.
   - The least common denominator (LCD) of 5 and 10 is **10**.

2. **Convert Each Fraction to Have the Common Denominator:**
   - Convert $$\frac{2}{5}$$ to a fraction with denominator 10:
     $$
     \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}
     $$
   - $$\frac{1}{10}$$ already has the denominator 10, so it remains the same:
     $$
     \frac{1}{10}
     $$

3. **Subtract the Numerators:**
   $$
   \frac{4}{10} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}
   $$

**Final Answer:**
$$
\frac{2}{5} - \frac{1}{10} = \frac{3}{10}
$$
$$ \frac{2}{5} - \frac{1}{10} = \frac{3}{10} $$

Subtract.

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