https://file.aiquickdraw.com/mathbot/file/1727366101540p96cpmqu.jpg

The expression in the image is a division of two fractions:

\[
\frac{8}{5} \div \frac{7}{6}
\]

To simplify this, we multiply the first fraction by the reciprocal of the second fraction:

\[
\frac{8}{5} \times \frac{6}{7} = \frac{8 \times 6}{5 \times 7} = \frac{48}{35}
\]

Since \(\frac{48}{35}\) is already in its simplest form (it cannot be simplified further), the final answer is:

\[
\frac{48}{35}
\]

This is an improper fraction, as the numerator is greater than the denominator. You could leave it like this or convert it to a mixed number:

\[
48 \div 35 = 1 \text{ remainder } 13
\]

So, as a mixed number:

\[
1 \frac{13}{35}
\]

Would you like more details on these steps?

Here are 5 related questions:
1. How do you multiply two fractions in general?
2. How do you convert an improper fraction into a mixed number?
3. Can you explain why we use the reciprocal when dividing fractions?
4. How would the process change if you were asked to divide a fraction by a whole number?
5. How can you simplify fractions before multiplying?

**Tip:** Always check if the fractions can be simplified before multiplying to make the calculation easier.

Simplify. Write your answer as a proper or improper fraction in simplest form: 8/5 ÷ 7/6

Learn how to simplify the division of fractions 8/5 ÷ 7/6 with a step-by-step explanation. Understand the key concepts of multiplying fractions by their reciprocal and simplifying the result. This solution is suitable for students in Grades 5-7.

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