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

Understand the problem: Step 1: Understand the problem. We need to convert the fraction 1/3 into its decimal form.Perform the division: Step 2: Perform the division. 1 divided by 3 equals approximately 0.3333..., which is a repeating decimal.Identify the repeating part: Step 3: Identify the repeating part. The decimal 0.3333... repeats the digit 3.Write repeating decimal: Step 4: Write the repeating decimal using notation. The repeating decimal notation for 0.3333... is 0.{3}.

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How do you write $\frac{1}{3}$ as a decimal? $\newline$ Choices: $\newline$ (A) $0.1\overline{6}$ $\newline$ (B) $0.\overline{1}$ $\newline$ (C) $0.\overline{3}$ $\newline$ (D) $0.0\overline{6}$

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Math Problems

Grade 6

Convert between fractions and repeating decimals

Full solution

Q. How do you write

\frac{1}{3}

as a decimal?

\newline

Choices:

\newline

(A)

0.1\overline{6}

\newline

(B)

0.\overline{1}

\newline

(C)

0.\overline{3}

\newline

(D)

0.0\overline{6}

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to convert the fraction $1/3$ into its decimal form.
Perform the division: Step $2$ : Perform the division. $\newline$ $1$ divided by $3$ equals approximately $0.3333...$ , which is a repeating decimal.
Identify the repeating part: Step $3$ : Identify the repeating part. $\newline$ The decimal $0.3333\ldots$ repeats the digit $3$ .
Write repeating decimal: Step $4$ : Write the repeating decimal using notation. $\newline$ The repeating decimal notation for $0.3333\ldots$ is $0.\overline{3}.$