# What is 3/4 divided by 4/5?

#### Understand the Problem

The question is asking for the result of dividing the fraction 3/4 by the fraction 4/5. To solve this, we can use the rule that dividing by a fraction is equivalent to multiplying by its reciprocal.

$\frac{15}{16}$

The result of dividing the fraction $\frac{3}{4}$ by the fraction $\frac{4}{5}$ is $\frac{15}{16}$.

#### Steps to Solve

1. Identify the fractions We need to divide the fraction $\frac{3}{4}$ by the fraction $\frac{4}{5}$.

2. Reciprocal of the second fraction To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{4}{5}$ is $\frac{5}{4}$.

3. Multiply the fractions Now we can rewrite the division as multiplication: $$\frac{3}{4} \div \frac{4}{5} = \frac{3}{4} \times \frac{5}{4}$$

4. Multiply the numerators and denominators Now multiply the numerators and denominators: $$\frac{3 \times 5}{4 \times 4} = \frac{15}{16}$$

The result of dividing the fraction $\frac{3}{4}$ by the fraction $\frac{4}{5}$ is $\frac{15}{16}$.

• Not simplifying the final answer if possible. However, in this case, $\frac{15}{16}$ cannot be simplified further.