Find the product
`6/25xx15/8xx9/12`

Answer

To find the product of the fractions \( \frac{6}{25} \times \frac{15}{8} \times \frac{9}{12} \), we will follow these steps:

### Step-by-Step Solution:

1. **Write the product of the fractions**:
\[ \frac{6}{25} \times \frac{15}{8} \times \frac{9}{12} \]

2. **Multiply the numerators and the denominators**:
\[ = \frac{6 \times 15 \times 9}{25 \times 8 \times 12} \]

3. **Calculate the numerator**:
- First, calculate \( 6 \times 15 \):
\[ 6 \times 15 = 90 \]
- Then, multiply by \( 9 \):
\[ 90 \times 9 = 810 \]
- So, the numerator is \( 810 \).

4. **Calculate the denominator**:
- First, calculate \( 25 \times 8 \):
\[ 25 \times 8 = 200 \]
- Then, multiply by \( 12 \):
\[ 200 \times 12 = 2400 \]
- So, the denominator is \( 2400 \).

5. **Now we have**:
\[ \frac{810}{2400} \]

6. **Simplify the fraction**:
- Find the greatest common divisor (GCD) of \( 810 \) and \( 2400 \). The GCD is \( 30 \).
- Divide both the numerator and denominator by \( 30 \):
\[ \frac{810 \div 30}{2400 \div 30} = \frac{27}{80} \]

7. **Final answer**:
\[ \frac{27}{80} \]