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What is the reciprocal of 1/5?

Understand the Problem

The question is asking for the reciprocal of the fraction 1/5. The reciprocal of a number is 1 divided by that number. In this case, we will find the reciprocal by inverting the fraction.

Answer

The reciprocal of \( \frac{1}{5} \) is \( 5 \).
Answer for screen readers

The reciprocal of the fraction ( \frac{1}{5} ) is ( 5 ).

Steps to Solve

  1. Identify the fraction
    The given fraction is ( \frac{1}{5} ).

  2. Understand the reciprocal
    The reciprocal of a number ( a ) is given by ( \frac{1}{a} ).

  3. Calculate the reciprocal
    To find the reciprocal of ( \frac{1}{5} ), we invert the fraction: $$ \text{Reciprocal} = \frac{5}{1} $$

  4. Simplify the result
    The simplified form of ( \frac{5}{1} ) is simply ( 5 ).

The reciprocal of the fraction ( \frac{1}{5} ) is ( 5 ).

More Information

The reciprocal is a concept often used in mathematics, particularly when dealing with fractions and in solving equations. Understanding reciprocals is essential for operations such as division of fractions.

Tips

One common mistake is to forget that the reciprocal of a fraction requires inversion. Instead of inverting it, someone might mistakenly think that the reciprocal of ( \frac{1}{5} ) is still ( \frac{1}{5} ).

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