What is the reciprocal of 7/4?
Understand the Problem
The question is asking for the reciprocal of the fraction 7/4. To find the reciprocal, we need to flip the fraction, turning it into 4/7.
Answer
The reciprocal of $\frac{7}{4}$ is $\frac{4}{7}$.
Answer for screen readers
The reciprocal of the fraction $\frac{7}{4}$ is $\frac{4}{7}$.
Steps to Solve
- Identify the original fraction
The original fraction given is $\frac{7}{4}$.
- Understand the concept of reciprocal
The reciprocal of a fraction is obtained by switching its numerator (top number) with its denominator (bottom number).
- Flip the fraction
To find the reciprocal of $\frac{7}{4}$, we switch the numerator and denominator:
$$ \text{Reciprocal} = \frac{4}{7} $$
The reciprocal of the fraction $\frac{7}{4}$ is $\frac{4}{7}$.
More Information
Reciprocals are useful in various mathematical operations, especially in division of fractions, where multiplying by the reciprocal simplifies the computation.
Tips
- Confusing the reciprocal with simply inverting the fraction without understanding the operation involved. Always remember, finding the reciprocal means flipping the fraction.
AI-generated content may contain errors. Please verify critical information
