What is the result of 5 divided by one-fifth?

5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.
StartFraction 1 Over 25 EndFraction
One-fifth
1
25

1 answer

To divide a number by a fraction, you can multiply by the reciprocal of that fraction.

In this case, you want to divide 5 by one-fifth (1/5):

\[ 5 \div \frac{1}{5} = 5 \times 5 \]

This is because the reciprocal of \(\frac{1}{5}\) is \(5\).

So, calculating that:

\[ 5 \times 5 = 25 \]

Therefore, the result of 5 divided by one-fifth is 25.