What is the reciprocal of 7/5?
Understand the Problem
The question is asking for the reciprocal of the fraction 7/5. The reciprocal of a fraction is found by flipping the numerator and the denominator. Therefore, the reciprocal of 7/5 will be 5/7.
Answer
The reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.
Answer for screen readers
The reciprocal of the fraction $\frac{7}{5}$ is $\frac{5}{7}$.
Steps to Solve
- Identify the fractional components
Recognize the numerator and denominator of the fraction. Here, for the fraction $\frac{7}{5}$, the numerator is 7 and the denominator is 5.
- Flip the fraction
To find the reciprocal, switch the position of the numerator and the denominator.
So, the reciprocal of $\frac{7}{5}$ will be $\frac{5}{7}$.
- Express the final answer
The final result is now written in its simplest form, yielding the reciprocal desired.
The reciprocal of the fraction $\frac{7}{5}$ is $\frac{5}{7}$.
More Information
The reciprocal is an important concept in mathematics, especially in operations involving fractions and algebra. Understanding reciprocals can help simplify problems, particularly those that involve division of fractions.
Tips
- Confusing the reciprocal with the inverse operation. The reciprocal involves flipping the fraction, while inverting refers to transforming the number in a different mathematical context.