Is 12/5 a rational number?
Understand the Problem
The question is asking whether the fraction 12/5 qualifies as a rational number. A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Answer
Yes, $\frac{12}{5}$ is a rational number.
Answer for screen readers
Yes, $\frac{12}{5}$ qualifies as a rational number.
Steps to Solve
- Identify the Components of the Fraction
The fraction given is $\frac{12}{5}$. Here, 12 is the numerator and 5 is the denominator.
- Check if Both Parts are Integers
Both 12 and 5 are whole numbers (integers). So, we can confirm that the numerator (12) and denominator (5) are both integers.
- Ensure the Denominator is Not Zero
Next, we check the denominator. The denominator is 5, which is not zero, satisfying the condition for rational numbers.
- Conclude Whether It's a Rational Number
Since $\frac{12}{5}$ can be expressed as the quotient of two integers and the denominator is not zero, it qualifies as a rational number.
Yes, $\frac{12}{5}$ qualifies as a rational number.
More Information
Rational numbers include integers, fractions, and finite or repeating decimals. Since $\frac{12}{5}$ is a fraction of two integers, it is classified as rational.
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