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How do you write $\frac{1}{12}$ as a decimal? $\newline$ Choices: $\newline$ (A) $0.1\overline{6}$ $\newline$ (B) $0.8\overline{3}$ $\newline$ (C) $0.0\overline{5}$ $\newline$ (D) $0.08\overline{3}$

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Convert between repeating decimals and fractions

Full solution

Q. How do you write

\frac{1}{12}

as a decimal?

\newline

Choices:

\newline

(A)

0.1\overline{6}

\newline

(B)

0.8\overline{3}

\newline

(C)

0.0\overline{5}

\newline

(D)

0.08\overline{3}

Convert to decimal: Convert $\frac{1}{12}$ into a decimal by dividing $1$ by $12$ . Calculation: $1 \div 12 = 0.083333\ldots$
Recognize repeating decimal: Recognize the repeating decimal. The ' $3$ ' repeats indefinitely, so we write it as $0.08\overline{3}$ .

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