To solve \( 9 \div \frac{4}{5} \), you can multiply 9 by the reciprocal of \( \frac{4}{5} \), which is \( \frac{5}{4} \).

\[
9 \div \frac{4}{5} = 9 \times \frac{5}{4}
\]

Now, multiply:

\[
9 \times \frac{5}{4} = \frac{9 \times 5}{4} = \frac{45}{4}
\]

Finally, \( \frac{45}{4} \) can be written as a mixed number:

\[
\frac{45}{4} = 11 \frac{1}{4}
\]

So, \( 9 \div \frac{4}{5} = 11 \frac{1}{4} \).

Would you like further explanation?

Here are some related questions:
1. What is \( 12 \div \frac{3}{7} \)?
2. How do you multiply fractions?
3. How do you simplify \( \frac{45}{4} \) into a decimal?
4. What is the reciprocal of a fraction?
5. How do you divide fractions?

**Tip**: Dividing by a fraction is the same as multiplying by its reciprocal.

Learn how to divide 9 by 4/5 in this detailed guide. The problem covers key mathematical concepts like fraction division, reciprocals, and multiplication. Follow the solution to see how 9 divided by 4/5 equals 11 1/4, ideal for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation