What is the reciprocal of 7/5?
Understand the Problem
The question is asking for the reciprocal of the fraction 7/5. The reciprocal of a fraction is found by flipping the numerator and the denominator.
Answer
$\frac{5}{7}$
Answer for screen readers
The reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.
Steps to Solve
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Identify the numerator and denominator The given fraction is $\frac{7}{5}$. Here, the numerator is 7 and the denominator is 5.
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Flip the fraction To find the reciprocal, we switch the numerator and the denominator. So the reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.
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Write the reciprocal The final step is to express the reciprocal clearly as a fraction: $$ \text{Reciprocal of } \frac{7}{5} = \frac{5}{7} $$
The reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.
More Information
Finding the reciprocal of a fraction is straightforward: simply invert the fraction. This operation is useful in various mathematical contexts, such as dividing fractions or solving equations.
Tips
- A common mistake is to think that the reciprocal involves changing the sign of the fraction instead of inverting it. Remember, it's about switching the numerator and denominator!
