What is the reciprocal of 7/3?
Understand the Problem
The question is asking for the reciprocal of the fraction 7/3. The reciprocal of a number is 1 divided by that number, so we will calculate 1/(7/3).
Answer
$ \frac{3}{7} $
Answer for screen readers
The reciprocal of the fraction $ \frac{7}{3} $ is $ \frac{3}{7} $.
Steps to Solve
- Identify the reciprocal definition
The reciprocal of a fraction is calculated by taking 1 divided by that fraction. In this case, we have the fraction $ \frac{7}{3} $. Therefore, its reciprocal is:
$$ \text{Reciprocal} = \frac{1}{\frac{7}{3}} $$
- Simplify the reciprocal expression
To simplify the expression $ \frac{1}{\frac{7}{3}} $, we can multiply by the reciprocal of the fraction in the denominator:
$$ \frac{1}{\frac{7}{3}} = 1 \cdot \frac{3}{7} $$
- Calculate the final result
Now, multiplying gives us the final output:
$$ \frac{3}{7} $$
The reciprocal of the fraction $ \frac{7}{3} $ is $ \frac{3}{7} $.
More Information
The reciprocal of a fraction flips the numerator and denominator. This concept is often used in solving equations where fractions are involved. Using the reciprocal can make calculations easier, especially in division.
Tips
- Confusing the reciprocal with simply flipping the denominator without accounting for the process of division. Always remember to use the initial formula, $ \frac{1}{\text{fraction}} $.
