What is the reciprocal of 9/8?
Understand the Problem
The question is asking for the reciprocal of the fraction 9/8. The reciprocal of a fraction is obtained by flipping it, so we will calculate 8/9.
Answer
The reciprocal of $\frac{9}{8}$ is $\frac{8}{9}$.
Answer for screen readers
The reciprocal of the fraction $\frac{9}{8}$ is $\frac{8}{9}$.
Steps to Solve
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Identify the fraction We start with the given fraction, which is $\frac{9}{8}$.
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Calculate the reciprocal To find the reciprocal of a fraction, we flip the numerator and denominator. Therefore, the reciprocal of $\frac{9}{8}$ is $\frac{8}{9}$.
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Final Result The final result is confirmed as the reciprocal is found to be $\frac{8}{9}$.
The reciprocal of the fraction $\frac{9}{8}$ is $\frac{8}{9}$.
More Information
Finding the reciprocal is a common operation in math, where you simply interchange the numerator and the denominator. Reciprocals are important in various mathematical operations, especially when dividing fractions.
Tips
- A common mistake is confusing the reciprocal with the negative or additive inverse. Remember, the reciprocal is about flipping the fraction, not changing its sign.