Multiply these fractions and reduce 9/10 x 11/12

To multiply the fractions \( \frac{9}{10} \times \frac{11}{12} \), follow these steps:

1. **Multiply the numerators**:
   \[
   9 \times 11 = 99
   \]

2. **Multiply the denominators**:
   \[
   10 \times 12 = 120
   \]

So, the result is:
\[
\frac{99}{120}
\]

Now, let's **simplify** this fraction by finding the greatest common divisor (GCD) of 99 and 120. The GCD of 99 and 120 is 3.

3. **Divide both the numerator and denominator by their GCD**:
   \[
   \frac{99 \div 3}{120 \div 3} = \frac{33}{40}
   \]

So, the simplified product of \( \frac{9}{10} \times \frac{11}{12} \) is:
\[
\frac{33}{40}
\]

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. What are the steps to simplify a fraction?
3. How do you multiply mixed numbers as opposed to fractions?
4. What is the difference between multiplying fractions and dividing fractions?
5. How can you convert a simplified improper fraction back to a mixed number?

**Tip:** Always simplify fractions after multiplying or dividing them to ensure the result is in its simplest form.

Learn how to multiply fractions 9/10 x 11/12 and simplify the result step-by-step. This problem covers basic fraction multiplication and simplification techniques. Suitable for students in Grades 5-8.

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