To solve the expression \( \frac{2}{5} + \frac{1}{10} + \frac{3}{2} \), follow these steps:

### Step 1: Find a common denominator
The denominators are 5, 10, and 2. The least common denominator (LCD) is 10.

### Step 2: Rewrite each fraction with the LCD of 10
- \( \frac{2}{5} = \frac{4}{10} \) (multiply both numerator and denominator by 2)
- \( \frac{1}{10} \) stays the same
- \( \frac{3}{2} = \frac{15}{10} \) (multiply both numerator and denominator by 5)

### Step 3: Add the fractions
Now, add the numerators since the denominators are the same:
\[
\frac{4}{10} + \frac{1}{10} + \frac{15}{10} = \frac{4 + 1 + 15}{10} = \frac{20}{10}
\]

### Step 4: Simplify the result
\[
\frac{20}{10} = 2
\]

So, the final answer is \( 2 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the least common denominator?
2. What is the process for adding fractions with different denominators?
3. How do you convert improper fractions to mixed numbers?
4. How can you simplify fractions?
5. What are some real-life applications of adding fractions?

**Tip:** When adding fractions, always make sure to simplify your result if possible.

Learn how to add fractions with different denominators in the expression 2/5 + 1/10 + 3/2. This guide covers finding the least common denominator, rewriting fractions, and simplifying results, making it perfect for students in Grades 5-7.

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