If x=2 and y=5 find the values of :
`(3x)/(2y)`

Answer

To solve the problem, we need to find the value of the expression \( \frac{3x}{2y} \) given that \( x = 2 \) and \( y = 5 \).

### Step-by-step Solution:

1. **Identify the values of x and y**:
- We are given \( x = 2 \) and \( y = 5 \).

2. **Substitute the values into the expression**:
- The expression we need to evaluate is \( \frac{3x}{2y} \).
- Substitute \( x \) and \( y \) into the expression:
\[ \frac{3(2)}{2(5)} \]

3. **Calculate the numerator**:
- First, calculate \( 3 \times 2 \):
\[ 3 \times 2 = 6 \]

4. **Calculate the denominator**:
- Next, calculate \( 2 \times 5 \):
\[ 2 \times 5 = 10 \]

5. **Form the fraction**:
- Now we can write the fraction with the calculated numerator and denominator:
\[ \frac{6}{10} \]

6. **Simplify the fraction**:
- To simplify \( \frac{6}{10} \), we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \]

7. **Convert to decimal (if needed)**:
- If we want to express \( \frac{3}{5} \) as a decimal, we can divide 3 by 5:
\[ 3 \div 5 = 0.6 \]

### Final Answer:
The value of \( \frac{3x}{2y} \) when \( x = 2 \) and \( y = 5 \) is \( 0.6 \).

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