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 fraction is obtained by flipping the fraction, which means the numerator becomes the denominator and vice versa. Therefore, we will determine what 3/7 is.
Answer
The reciprocal of $\frac{7}{3}$ is $\frac{3}{7}$.
Answer for screen readers
The reciprocal of the fraction $\frac{7}{3}$ is $\frac{3}{7}$.
Steps to Solve
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Determine the Given Fraction The given fraction is $\frac{7}{3}$.
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Identify the Reciprocal To find the reciprocal of the fraction, we flip it. This means the numerator (7) will become the denominator, and the denominator (3) will become the numerator.
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Write the Reciprocal The reciprocal of $\frac{7}{3}$ is therefore $\frac{3}{7}$.
The reciprocal of the fraction $\frac{7}{3}$ is $\frac{3}{7}$.
More Information
The concept of reciprocal is important in various areas of mathematics, especially in solving equations and understanding proportional relationships. Knowing how to find the reciprocal helps in performing operations like division with fractions.
Tips
- A common mistake is to confuse the reciprocal with the negative or inverse of a number. Remember, the reciprocal is simply flipping the fraction.