4/5 divided by 5

Understand the Problem

The question is asking us to perform a division operation involving a fraction (4/5) and a whole number (5). We will solve this by converting the whole number to a fraction and then dividing.

$\frac{4}{25}$

The answer is $\frac{4}{25}$.

Steps to Solve

1. Convert the whole number to a fraction

To divide a fraction by a whole number, we first convert the whole number into a fraction. The whole number 5 can be written as the fraction $\frac{5}{1}$.

1. Set up the division of the fractions

Now we divide $\frac{4}{5}$ by $\frac{5}{1}$ using the rule that states to divide by a fraction, multiply by its reciprocal.

1. Multiply by the reciprocal

The reciprocal of $\frac{5}{1}$ is $\frac{1}{5}$. Therefore, we can rewrite the division:

$$\frac{4}{5} \div \frac{5}{1} = \frac{4}{5} \times \frac{1}{5}$$

1. Multiply the fractions

Now, we multiply the numerators together and the denominators together:

$$\frac{4 \times 1}{5 \times 5} = \frac{4}{25}$$

1. Final result

The final result of the division is $\frac{4}{25}$.

The answer is $\frac{4}{25}$.