QUESTION IMAGE
Question
- which subset of the real numbers contains $\frac{3}{4}$?
a. integers
b. natural numbers
c. rational numbers
d. irrational numbers
Brief Explanations
Rational numbers are defined as numbers that can be expressed as $\frac{p}{q}$, where $p$ and $q$ are integers and $q
eq 0$. The number $\frac{1}{4}$ fits this definition. Integers are whole numbers (positive, negative, zero) and natural numbers are positive whole numbers, so $\frac{1}{4}$ is not part of these subsets. Irrational numbers cannot be written as a simple fraction, which excludes $\frac{1}{4}$.
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C. rational numbers