What is the reciprocal of 5/9?
Understand the Problem
The question is asking for the reciprocal of the fraction 5/9, which involves finding the value obtained when the numerator and denominator are swapped.
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
- Identify the Original Fraction
The original fraction given in the problem is $\frac{5}{9}$.
- Swap the Numerator and Denominator
To find the reciprocal of a fraction, you need to swap its numerator and denominator. The numerator (5) becomes the denominator, and the denominator (9) becomes the numerator.
- Write the Reciprocal
Thus, the reciprocal of the original fraction $\frac{5}{9}$ is $\frac{9}{5}$.
The reciprocal of the fraction $\frac{5}{9}$ is $\frac{9}{5}$.
More Information
The reciprocal of a fraction is simply formed by switching its numerator and denominator. This is useful in operations such as division of fractions, where you multiply by the reciprocal instead.
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