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.
Answer
$\frac{4}{25}$
Answer for screen readers
The answer is $\frac{4}{25}$.
Steps to Solve
- 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 $\frac{5}{1}$.
- 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.
- Multiply by the reciprocal
The reciprocal of $\frac{5}{1}$ is $\frac{1}{5}$. Therefore, we can rewrite the division:
$$ \frac{4}{5} \div \frac{5}{1} = \frac{4}{5} \times \frac{1}{5} $$
- Multiply the fractions
Now, we multiply the numerators together and the denominators together:
$$ \frac{4 \times 1}{5 \times 5} = \frac{4}{25} $$
- Final result
The final result of the division is $\frac{4}{25}$.
The answer is $\frac{4}{25}$.
More Information
When dividing a fraction by a whole number, remember to always convert the whole number into a fraction first. This method preserves the proper mathematical operations. Dividing fractions can also be visualized as scaling down, which helps understand the concept better.
Tips
- Forgetting to convert the whole number into a fraction.
- Misapplying the rule of dividing fractions by attempting to do it directly without using the reciprocal.
