What is the reciprocal of 5/9?
Understand the Problem
The question is asking for the reciprocal of the fraction 5/9. To find the reciprocal of a fraction, you simply flip the numerator and the denominator.
Answer
The reciprocal of the fraction $\frac{5}{9}$ is $\frac{9}{5}$.
Answer for screen readers
The reciprocal of the fraction $\frac{5}{9}$ is $\frac{9}{5}$.
Steps to Solve
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Identify the fraction
We have the fraction $\frac{5}{9}$. -
Flip the numerator and denominator
To find the reciprocal, we switch the numerator (5) and the denominator (9). The new fraction will be $\frac{9}{5}$. -
Write the reciprocal
Therefore, the reciprocal of the fraction $\frac{5}{9}$ is $\frac{9}{5}$.
The reciprocal of the fraction $\frac{5}{9}$ is $\frac{9}{5}$.
More Information
A reciprocal is a value that, when multiplied by the original number, gives a product of 1. For example, $\frac{5}{9} \times \frac{9}{5} = 1$.
Tips
- Confusing the reciprocal with an inverse. The reciprocal involves switching the numerator and denominator, while the inverse generally refers to the opposite value (for example, $-x$).
- Forgetting to simplify when necessary. While the reciprocal of $\frac{5}{9}$ does not need simplification, always check if the fraction can be simplified when working with others.
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