which fraction has a repeating decimal as its decimal expansion?\n$\frac{3}{25}$\n$\frac{3}{16}$\n$\frac{3}{1…
which fraction has a repeating decimal as its decimal expansion?\n$\frac{3}{25}$\n$\frac{3}{16}$\n$\frac{3}{11}$\n$\frac{3}{8}$
Answer
Answer:
C. $\frac{3}{11}$
Explanation:
Step1: Recall fraction - decimal conversion
To convert a fraction $\frac{a}{b}$ to a decimal, we perform $a\div b$.
Step2: Analyze $\frac{3}{25}$
$3\div25 = 0.12$, non - repeating.
Step3: Analyze $\frac{3}{16}$
$3\div16= 0.1875$, non - repeating.
Step4: Analyze $\frac{3}{11}$
$3\div11 = 0.\overline{27}$, repeating.
Step5: Analyze $\frac{3}{8}$
$3\div8 = 0.375$, non - repeating.