To multiply the fractions \(\frac{5}{9} \times \frac{12}{7}\), you can follow these steps:

1. Multiply the numerators: \(5 \times 12 = 60\).
2. Multiply the denominators: \(9 \times 7 = 63\).
   
So, \(\frac{5}{9} \times \frac{12}{7} = \frac{60}{63}\).

Next, simplify the fraction \(\frac{60}{63}\):

- The greatest common divisor (GCD) of 60 and 63 is 3.
- Divide both the numerator and denominator by 3:

\[
\frac{60 \div 3}{63 \div 3} = \frac{20}{21}
\]

Thus, \(\frac{5}{9} \times \frac{12}{7} = \frac{20}{21}\).

Let me know if you'd like more details, or if you have any questions!

### Related questions:
1. What is the process for adding fractions with different denominators?
2. How do you multiply mixed numbers?
3. Can you simplify \(\frac{40}{56}\)?
4. How do you find the GCD of two numbers?
5. What are the steps for dividing fractions?

**Tip:** Always simplify fractions at the end to get the simplest form.

Learn how to multiply the fractions 5/9 and 12/7 with a step-by-step solution. This problem covers the multiplication of fractions and simplification using the greatest common divisor (GCD). Suitable for students in Grades 5-7.

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