What is the reciprocal of 1/6?
Understand the Problem
The question is asking for the reciprocal of the fraction 1/6, which means finding the number that, when multiplied by 1/6, equals 1. The reciprocal can be found by flipping the fraction.
Answer
$ 6 $
Answer for screen readers
The reciprocal of the fraction $ \frac{1}{6} $ is $ 6 $.
Steps to Solve
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Identify the fraction
We need to find the reciprocal of the given fraction, which is $ \frac{1}{6} $. -
Flip the fraction
The reciprocal of a fraction is obtained by flipping the numerator and the denominator. Thus, we find the reciprocal of $ \frac{1}{6} $ by flipping it to get $ \frac{6}{1} $. -
Simplify the result
The fraction $ \frac{6}{1} $ simplifies to just 6.
The reciprocal of the fraction $ \frac{1}{6} $ is $ 6 $.
More Information
Finding the reciprocal of a fraction is straightforward—simply flip it! It's used often in algebra and when solving equations involving fractions.
Tips
- A common mistake is to confuse the reciprocal with the negative or opposite of a fraction. The reciprocal changes the fraction, while the negative simply changes its sign.
