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Which decimal is equivalent to (4)/(15) ? Choose 1 answer: (A) 0.26 (B) 0.2626 (C) 0. bar(26) (D) 0.2 bar(6)

Which decimal is equivalent to 415 \frac{4}{15} ?\newlineChoose 11 answer:\newline(A) 00.2626\newline(B) 00.26262626\newline(C) 0.26‾ 0 . \overline{26} \newline(D) 0.26‾ 0.2 \overline{6}

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Full solution

Q. Which decimal is equivalent to 415 \frac{4}{15} ?\newlineChoose 11 answer:\newline(A) 00.2626\newline(B) 00.26262626\newline(C) 0.26‾ 0 . \overline{26} \newline(D) 0.26‾ 0.2 \overline{6}
  1. Divide Fraction by 1515: Divide 44 by 1515 to convert the fraction into a decimal.\newlineCalculation: 4÷15=0.2666…4 \div 15 = 0.2666\ldots
  2. Recognize Repeating Pattern: Recognize the repeating pattern in the decimal. The decimal repeats the digit ' ext{66}' after the initial ' ext{2626}', so it is a repeating decimal.
  3. Determine Notation: Determine the correct notation for the repeating decimal.\newlineSince the 66 is the repeating digit, the correct notation is 0.20.2 with a bar over the 66 to indicate that it repeats indefinitely.
  4. Match with Choices: Match the result with the given choices.\newlineThe correct choice that matches our result is (D)0.26‾(D) 0.2 \overline{6}.

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