How do you write 1/6 as a decimal? Choices: (A)0.1{6} (B)0.{1} (C)0.0{6} (D)0.8{3}

Divide and Convert: Divide the numerator by the denominator to convert the fraction into a decimal; 1 divided by 6 equals approximately 0.1666..., which repeats indefinitely. Recognize Repeating Pattern: Recognize the repeating decimal pattern in the result; the digit ＂6＂ repeats. Write Repeating Decimal: Write the decimal with the repeating digit underlined or in parentheses to indicate the repetition; this is represented as 0.1(6).

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How do you write $\frac{1}{6}$ as a decimal? $\newline$ Choices: $\newline$ (A) $0$ . $1$ $\overline{6}$ $\newline$ (B) $0$ . $\overline{1}$ $\newline$ (C) $0$ . $0$ $\overline{6}$ $\newline$ (D) $0$ . $8$ $\overline{3}$

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Math Problems

Grade 8

Convert between repeating decimals and fractions

Full solution

Q. How do you write

\frac{1}{6}

as a decimal?

\newline

Choices:

\newline

(A)

0

1

\overline{6}

\newline

(B)

0

\overline{1}

\newline

(C)

0

0

\overline{6}

\newline

(D)

0

8

\overline{3}

Divide and Convert: Divide the numerator by the denominator to convert the fraction into a decimal; $1$ divided by $6$ equals approximately $0.1666\ldots$ , which repeats indefinitely.
Recognize Repeating Pattern: Recognize the repeating decimal pattern in the result; the digit $6$ repeats.
Write Repeating Decimal: Write the decimal with the repeating digit underlined or in parentheses to indicate the repetition; this is represented as $0.1(6)$ .