What is the reciprocal of 6/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 6/7. To find the reciprocal, you simply swap the numerator and the denominator, which means the reciprocal of 6/7 is 7/6.
Answer
The reciprocal of $ \frac{6}{7} $ is $ \frac{7}{6} $.
Answer for screen readers
The reciprocal of the fraction $ \frac{6}{7} $ is $ \frac{7}{6} $.
Steps to Solve
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Identify the Fraction The fraction we need to find the reciprocal of is given as $ \frac{6}{7} $.
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Swap Numerator and Denominator To find the reciprocal, we exchange the numerator (top) and the denominator (bottom).
So, the reciprocal of $ \frac{6}{7} $ becomes: $$ \frac{7}{6} $$
The reciprocal of the fraction $ \frac{6}{7} $ is $ \frac{7}{6} $.
More Information
Finding the reciprocal of a fraction is a fundamental concept in mathematics, especially useful in operations involving division of fractions. The reciprocal is essential in solving equations and simplifying complex fractions.
Tips
Common mistakes include:
- Confusing the terms "numerator" and "denominator" when swapping them.
- Assuming the reciprocal is the same as the negative of the fraction.
To avoid these mistakes, make sure to clearly identify the numerator and denominator before swapping.
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