Which decimal is equivalent to 6/11? Choices: (A)6.11 (B)0.54 (C)0.611 (D)0.{54}

Convert to decimal: Step 1: Convert the fraction 6/11 into a decimal by division. Calculation: 6 ÷ 11 = 0.54545454... (repeating decimal).Identify matching decimal: Step 2: Identify the decimal that matches the result from Step 1 among the given choices. Calculation: Compare 0.54545454... to each choice. (A) 6.11 is way too high. (B) 0.54 is close but not exact. (C) 0.611 is also not correct. (D) 0.{54} represents 0.545454... which is a repeating decimal.

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Which decimal is equivalent to $\frac{6}{11}$ ? $\newline$ Choices: $\newline$ (A) $6.11$ $\newline$ (B) $0.54$ $\newline$ (C) $0.611$ $\newline$ (D) $0.\overline{54}$

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Math Problems

Grade 8

Checkpoint: Rational and irrational numbers

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Q. Which decimal is equivalent to

\frac{6}{11}

\newline

Choices:

\newline

(A)

6.11

\newline

(B)

0.54

\newline

(C)

0.611

\newline

(D)

0.\overline{54}

Convert to decimal: Step $1$ : Convert the fraction $\frac{6}{11}$ into a decimal by division. $\newline$ Calculation: $6 \div 11 = 0.54545454...$ (repeating decimal).
Identify matching decimal: Step $2$ : Identify the decimal that matches the result from Step $1$ among the given choices. $\newline$ Calculation: Compare $0.54545454\ldots$ to each choice. $\newline$ (A) $6.11$ is way too high. $\newline$ (B) $0.54$ is close but not exact. $\newline$ (C) $0.611$ is also not correct. $\newline$ (D) $0.\overline{54}$ represents $0.545454\ldots$ which is a repeating decimal.