- Represent the number \(1\) as \(\frac{5}{5}\), which corresponds to \(5\) fifths.
- Divide \(5\) fifths by \(5\) to get \(\frac{5}{5} \div 5 = \frac{1}{5}\).
- Identify that \(5\) fifths \(\div 5 = 1\) fifth.
- Fill the blanks to get \(\boxed{5}\) fifths \(\div 5 = \boxed{1}\) fifth.
Explanation
- Dividing 1 by 5 using fifths
The goal is to complete the statement: \(\boxed{\phantom{0}}\) fifths \(\div 5 = \boxed{\phantom{0}}\) fifth. We are dividing the number \(1\) by \(5\).
First, we express the number \(1\) in terms of 'fifths'. Since there are \(5\) fifths in \(1\) (because \(1 = \frac{5}{5}\)), the number \(1\) is equal to \(5\) fifths.
Next, we set up the division: \(\frac{5}{5} \div 5\).
Calculating this: \(\frac{5}{5} \div 5 = \frac{5}{5 \times 5} = \frac{5}{25} = \frac{1}{5}\).
So, \(5\) fifths divided by \(5\) equals \(1\) fifth. Therefore, the blank spaces should be filled with \(5\) and \(1\), respectively.
Examples
Imagine you have a single large s'more that you want to share equally among 5 friends. Dividing the s'more into 5 parts means each person gets exactly 1/5 of the s'more. This is a practical example of dividing a whole into equal fractions, where the whole is represented as '5 fifths' and each share is '1 fifth'.