https://file.aiquickdraw.com/mathbot/file/1726754810462jythfdi2.jpg

The equation shown in the image is:

\[
\frac{5}{6} \div \frac{2}{3}
\]

To divide fractions, we use the rule:

\[
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
\]

Applying this rule to the given problem:

\[
\frac{5}{6} \div \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}
\]

Now, multiply the numerators and the denominators:

\[
\frac{5 \times 3}{6 \times 2} = \frac{15}{12}
\]

To simplify, divide both the numerator and the denominator by their greatest common divisor, which is 3:

\[
\frac{15}{12} = \frac{5}{4}
\]

Thus, the solution is:

\[
\frac{5}{4}
\]

This is equivalent to 1.25 in decimal form.

Would you like further details or have any questions? Here are some related questions for practice:

1. How would you multiply \(\frac{3}{4} \times \frac{7}{5}\)?
2. What is the reciprocal of \(\frac{7}{8}\)?
3. How do you convert an improper fraction like \(\frac{9}{4}\) into a mixed number?
4. How would you add \(\frac{5}{6} + \frac{2}{3}\)?
5. Can you simplify \(\frac{14}{28}\)?

**Tip**: When dividing fractions, always remember to multiply by the reciprocal of the second fraction!

Learn how to divide fractions with a detailed example: 5/6 ÷ 2/3. Understand the key steps, including multiplying by the reciprocal and simplifying the result to 5/4, or 1.25 in decimal form. Suitable for students in Grades 5-6.

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