What is the reciprocal of 4/5?
Understand the Problem
The question is asking for the reciprocal of the fraction 4/5. The reciprocal of a fraction is obtained by flipping the numerator and the denominator, which in this case means we need to find 5/4.
Answer
The reciprocal of $ \frac{4}{5} $ is $ \frac{5}{4} $.
Answer for screen readers
The reciprocal of the fraction $ \frac{4}{5} $ is $ \frac{5}{4} $.
Steps to Solve
- Identify the given fraction
The given fraction is $ \frac{4}{5} $.
- Flip the numerator and denominator
To find the reciprocal of the fraction, flip the numerator (4) and the denominator (5).
- Write the reciprocal
This results in the reciprocal being $ \frac{5}{4} $.
The reciprocal of the fraction $ \frac{4}{5} $ is $ \frac{5}{4} $.
More Information
The reciprocal of a number or fraction is a fundamental concept in mathematics. For any non-zero number ( x ), the reciprocal is defined as ( \frac{1}{x} ). This means that when you multiply a number by its reciprocal, the result will always be 1. For example, $ \frac{4}{5} \times \frac{5}{4} = 1 $.
Tips
- A common mistake is to leave the fraction unchanged or incorrectly flip the parts of the fraction. Always remember to switch the numerator and denominator.
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