Is 22/7 rational or irrational?
Understand the Problem
The question is asking whether the fraction 22/7 represents a rational or irrational number. To determine this, we need to recall that a rational number can be expressed as the ratio of two integers, while an irrational number cannot. Since 22/7 is a fraction of two integers, it is rational.
Answer
The fraction $\frac{22}{7}$ is a rational number.
Answer for screen readers
The fraction $\frac{22}{7}$ is a rational number.
Steps to Solve
- Identify the definition of rational numbers
A rational number is any number that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
- Analyze the given fraction
The fraction provided is $\frac{22}{7}$, where 22 is the numerator and 7 is the denominator.
- Determine the integer status of the numerator and denominator
The numerator 22 is an integer, and the denominator 7 is also an integer. The denominator is not zero, so we can confirm that the conditions for being a rational number are met.
- Conclude based on the analysis
Since $\frac{22}{7}$ can be expressed as a fraction of two integers, we conclude that it is a rational number.
The fraction $\frac{22}{7}$ is a rational number.
More Information
22/7 is a common approximation for the mathematical constant $\pi$ and is often used in various calculations. Although it is not equal to $\pi$, it is a rational approximation of it.
Tips
A common mistake is to confuse a rational number with an irrational number, such as $\pi$ or $\sqrt{2}$. Ensure that both the numerator and denominator are integers, and check that the denominator is not zero when determining if a number is rational.
