What is the reciprocal of 5/7?
Understand the Problem
The question is asking for the reciprocal of the fraction 5/7. To find the reciprocal, we simply invert the fraction, which means we swap the numerator and denominator.
Answer
The reciprocal of the fraction $\frac{5}{7}$ is $\frac{7}{5}$.
Answer for screen readers
The reciprocal of the fraction $\frac{5}{7}$ is $\frac{7}{5}$.
Steps to Solve
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Identify the given fraction
The fraction provided in the problem is $\frac{5}{7}$. -
Swap the numerator and denominator
To find the reciprocal of the fraction, we need to change the position of the numerator and denominator. Thus, we will take the numerator (5) and place it in the denominator, and the denominator (7) will become the numerator. -
Write the reciprocal
After swapping, the reciprocal of the fraction $\frac{5}{7}$ becomes $\frac{7}{5}$.
The reciprocal of the fraction $\frac{5}{7}$ is $\frac{7}{5}$.
More Information
The reciprocal of a fraction is an important concept in mathematics, especially in operations involving division, solving equations, and simplifying expressions. It helps in understanding how fractions work in relation to each other.
Tips
- Forgetting to swap the numerator and denominator, which leads to an incorrect reciprocal.
- Confusing the concept of reciprocal with other related concepts, like inverse functions.
