What is the reciprocal of 5/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 5/7. The reciprocal of a fraction is found by swapping its numerator and denominator, so the reciprocal of 5/7 is 7/5.
Answer
The reciprocal of \( \frac{5}{7} \) is \( \frac{7}{5} \).
Answer for screen readers
The reciprocal of the fraction ( \frac{5}{7} ) is ( \frac{7}{5} ).
Steps to Solve
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Identify the fraction The given fraction is ( \frac{5}{7} ).
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Swap the numerator and denominator To find the reciprocal, we switch the places of 5 and 7.
So,
$$ \text{Reciprocal} = \frac{7}{5} $$
- State the final result The reciprocal of ( \frac{5}{7} ) is ( \frac{7}{5} ).
The reciprocal of the fraction ( \frac{5}{7} ) is ( \frac{7}{5} ).
More Information
The concept of reciprocals is essential in mathematics, particularly in operations involving fractions, division, and algebra.
Tips
One common mistake is forgetting to swap the numerator and denominator, which finds the original fraction rather than its reciprocal.
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