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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

  1. 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 $\frac{5}{1}$.

  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:

$$ \frac{1}{6} \div \frac{5}{1} = \frac{1}{6} \times \frac{1}{5} $$

  1. Multiply the fractions

Now, we will multiply the numerators and the denominators of the fractions:

$$ \frac{1 \times 1}{6 \times 5} = \frac{1}{30} $$

  1. 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.
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