What is 1/6 divided by 5?
Understand the Problem
The question is asking us to perform a division operation involving a fraction. Specifically, we need to divide the fraction 1/6 by the whole number 5.
Answer
The result is $\frac{1}{30}$.
Answer for screen readers
The answer is $\frac{1}{30}$.
Steps to Solve
- Convert the whole number to a fraction
To divide a fraction by a whole number, we can rewrite the whole number as a fraction. Therefore, we can represent 5 as $\frac{5}{1}$.
- Set up the division of fractions
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. This gives us:
$$ \frac{1}{6} \div \frac{5}{1} = \frac{1}{6} \times \frac{1}{5} $$
- Multiply the fractions
Now, we will multiply the numerators and the denominators of the fractions:
$$ \frac{1 \times 1}{6 \times 5} = \frac{1}{30} $$
- Write the final answer
The result of dividing $\frac{1}{6}$ by 5 is $\frac{1}{30}$.
The answer is $\frac{1}{30}$.
More Information
Dividing fractions can often be simplified by flipping the second fraction (using its reciprocal). This makes operations straightforward and allows for quick calculations.
Tips
- A common mistake is to forget to convert the whole number to a fraction, which can lead to confusion in the multiplication step. Always remember that whole numbers can be written as fractions.