https://file.aiquickdraw.com/mathbot/file/1727884909473elnp9sbx.jpg

To solve the given problem, we need to multiply the fractions:

\[
\frac{5}{9} \times 1\frac{7}{11}
\]

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 1 \frac{7}{11} \) can be rewritten as an improper fraction. This is done by multiplying the whole number by the denominator and then adding the numerator:

\[
1 \frac{7}{11} = \frac{(1 \times 11) + 7}{11} = \frac{11 + 7}{11} = \frac{18}{11}
\]

### Step 2: Multiply the fractions
Now multiply \( \frac{5}{9} \) by \( \frac{18}{11} \):

\[
\frac{5}{9} \times \frac{18}{11} = \frac{5 \times 18}{9 \times 11} = \frac{90}{99}
\]

### Step 3: Simplify the fraction
Find the greatest common divisor (GCD) of 90 and 99. The GCD is 9. Now, divide both the numerator and denominator by 9:

\[
\frac{90 \div 9}{99 \div 9} = \frac{10}{11}
\]

Thus, the simplified answer is:

\[
\frac{10}{11}
\]

Let me know if you want further details or have any questions. Here are some related questions for further exploration:

1. How do you convert any mixed number into an improper fraction?
2. What is the process for finding the greatest common divisor (GCD)?
3. How do you multiply three or more fractions together?
4. What happens when the product of two fractions results in a whole number?
5. How do you handle multiplication of fractions with negative numbers?

**Tip**: When simplifying fractions, always start by finding the greatest common divisor of the numerator and denominator to reduce the fraction to its simplest form.

Calculate 5/9 × 1 7/11. Give your answer as a fraction in its simplest form.

Learn how to multiply fractions by converting mixed numbers to improper fractions and simplifying the result. This example covers the multiplication of 5/9 by 1 7/11 and reduces the final answer to its simplest form. Suitable for students in Grades 6-8.

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