Question

what type of number is $3\frac{2}{3}$? choose all answers that apply: a whole number b integer c rational d irrational

Explanation:

Step1: Convert mixed number to fraction

$3\frac{2}{3} = \frac{3\times3 + 2}{3} = \frac{11}{3}$

Step2: Classify the number

A rational number is defined as any number that can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q
eq0$. $\frac{11}{3}$ fits this definition. Whole numbers and integers do not include fractions, and irrational numbers cannot be written as such a ratio.

Answer:

C. Rational