Which decimal is equivalent to 26/99? Choices: (A)0.{2699} (B)0.2{6} (C)0.{26} (D)0.2699

Convert to decimal: Step 1: Convert the fraction 26/99 into a decimal by dividing 26 by 99. Calculation: 26 ÷ 99 ≈ 0.262626262626...Identify repeating pattern: Step 2: Identify the repeating pattern in the decimal. Observation: The digits ＂26＂ repeat.Match repeating decimal: Step 3: Match the repeating decimal to the given choices. Comparison: The repeating decimal 0.262626... matches with choice (C) 0.{26}.

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Which decimal is equivalent to $\frac{26}{99}$ ? $\newline$ Choices: $\newline$ (A) $0.\overline{2699}$ $\newline$ (B) $0.\overline{2}6$ $\newline$ (C) $0.\overline{26}$ $\newline$ (D) $0.2699$

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Math Problems

Grade 8

Checkpoint: Rational and irrational numbers

Full solution

Q. Which decimal is equivalent to

\frac{26}{99}

\newline

Choices:

\newline

(A)

0.\overline{2699}

\newline

(B)

0.\overline{2}6

\newline

(C)

0.\overline{26}

\newline

(D)

0.2699

Convert to decimal: Step $1$ : Convert the fraction $\frac{26}{99}$ into a decimal by dividing $26$ by $99$ . $\newline$ Calculation: $26 \div 99 \approx 0.262626262626\ldots$
Identify repeating pattern: Step $2$ : Identify the repeating pattern in the decimal. $\newline$ Observation: The digits ＂ $26$ ＂ repeat.
Match repeating decimal: Step $3$ : Match the repeating decimal to the given choices. $\newline$ Comparison: The repeating decimal $0.262626\ldots$ matches with choice (C) $0.\overline{26}$ .