To solve the expression \(\frac{3}{8} \div \frac{9}{10}\), follow these steps:

### Step 1: Rewrite the division as multiplication by the reciprocal.
\[
\frac{3}{8} \div \frac{9}{10} = \frac{3}{8} \times \frac{10}{9}
\]

### Step 2: Multiply the numerators and the denominators.
\[
\frac{3 \times 10}{8 \times 9} = \frac{30}{72}
\]

### Step 3: Simplify the fraction.
Both 30 and 72 can be divided by their greatest common divisor (GCD), which is 6.
\[
\frac{30}{72} = \frac{30 \div 6}{72 \div 6} = \frac{5}{12}
\]

So, \(\frac{3}{8} \div \frac{9}{10} = \frac{5}{12}\).

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What is \(\frac{5}{6} \div \frac{7}{8}\)?
2. How do you simplify \(\frac{4}{9} \div \frac{2}{3}\)?
3. Can you solve \(\frac{2}{5} \times \frac{9}{7}\)?
4. What is the result of \(\frac{8}{15} \div \frac{5}{6}\)?
5. How do you find the reciprocal of a fraction?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor.

Learn how to divide fractions with this step-by-step solution to 3/8 ÷ 9/10. We use the reciprocal method to multiply the fractions and simplify the result. This example is ideal for students in Grades 5-7 who are mastering fraction operations.

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