How do you write 0.1{6} as a fraction? Choices: (A)1/6 (B)1/4 (C)1/12 (D)1/11

Understand decimal 0.1{6}: Step 1: Understand the repeating decimal 0.1{6} means 0.16666... Multiply by 10: Step 2: Multiply x by 10 to shift the decimal point. Set up equation: Step 3: Set up an equation to eliminate the repeating part. Solve for x: Step 4: Solve for x by dividing both sides by 9.

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How do you write $0.1\overline{6}$ as a fraction? $\newline$ Choices: $\newline$ (A) $\frac{1}{6}$ $\newline$ (B) $\frac{1}{4}$ $\newline$ (C) $\frac{1}{12}$ $\newline$ (D) $\frac{1}{11}$

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Math Problems

Grade 8

Convert between repeating decimals and fractions

Full solution

Q. How do you write

0.1\overline{6}

as a fraction?

\newline

Choices:

\newline

(A)

\frac{1}{6}

\newline

(B)

\frac{1}{4}

\newline

(C)

\frac{1}{12}

\newline

(D)

\frac{1}{11}

Understand decimal $0.1\{6\}$ : Step $1$ : Understand the repeating decimal $0.1\{6\}$ means $0.16666...$
Multiply by $10$ : Step $2$ : Multiply $x$ by $10$ to shift the decimal point.
Set up equation: Step $3$ : Set up an equation to eliminate the repeating part.
Solve for x: Step $4$ : Solve for $x$ by dividing both sides by $9$ .