https://file.aiquickdraw.com/mathbot/file/1726076056914ao3ik08m.jpg

The image shows the division of two fractions:

\[
\frac{15}{4} \div \frac{11}{8}
\]

To solve the division of two fractions, we multiply the first fraction by the reciprocal of the second fraction. Here's the process:

1. Write the reciprocal of the second fraction \(\frac{11}{8}\), which is \(\frac{8}{11}\).
2. Multiply the first fraction \(\frac{15}{4}\) by \(\frac{8}{11}\):

\[
\frac{15}{4} \times \frac{8}{11} = \frac{15 \times 8}{4 \times 11} = \frac{120}{44}
\]

3. Simplify the fraction \(\frac{120}{44}\):
   - The greatest common divisor (GCD) of 120 and 44 is 4.
   - Divide both the numerator and denominator by 4:

\[
\frac{120 \div 4}{44 \div 4} = \frac{30}{11}
\]

So, the result is \(\frac{30}{11}\), or in mixed number form:

\[
\frac{30}{11} = 2 \frac{8}{11}
\]

Would you like more details or have any questions?

### Related questions:
1. How do you multiply fractions with whole numbers?
2. What is the process for simplifying fractions?
3. How do you convert improper fractions to mixed numbers?
4. How do you find the greatest common divisor (GCD)?
5. What are other methods for dividing fractions?

### Tip:
Always simplify fractions at the end to get the final result in its simplest form.

Solve the division of two fractions: (15/4) ÷ (11/8).

Learn how to divide the fractions (15/4) by (11/8) using the reciprocal method and simplify the final result. The step-by-step solution covers key concepts such as multiplying fractions and simplifying the answer using the greatest common divisor. Suitable for Grades 6-8.

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