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Which decimal is equivalent to (13)/(11) ? Choose 1 answer: (A) 1. bar(1) (B) 1. bar(181) (c) 1. bar(18) (D) 1.1 bar(8)

Which decimal is equivalent to 1311 \frac{13}{11} ?\newlineChoose 11 answer:\newline(A) 1.1‾ 1 . \overline{1} \newline(B) 1.181‾ 1 . \overline{181} \newline(C) 1.18‾ 1 . \overline{18} \newline(D) 1.18‾ 1.1 \overline{8}

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Full solution

Q. Which decimal is equivalent to 1311 \frac{13}{11} ?\newlineChoose 11 answer:\newline(A) 1.1‾ 1 . \overline{1} \newline(B) 1.181‾ 1 . \overline{181} \newline(C) 1.18‾ 1 . \overline{18} \newline(D) 1.18‾ 1.1 \overline{8}
  1. Divide 1313 by 1111: Divide 1313 by 1111 to find the decimal equivalent.\newline13÷11=1.181818…13 \div 11 = 1.181818\ldots
  2. Identify repeating pattern: Identify the repeating pattern in the decimal.\newlineThe digits ＂1818＂ repeat indefinitely, so the decimal can be written with a bar over the repeating part.
  3. Write decimal with bar: Write the decimal in the correct format with the repeating bar notation.\newlineThe correct notation for the repeating decimal is 1.18‾1.\overline{18}.
  4. Match with choices: Match the result with the given choices.\newlineThe correct choice that matches our result is (C) 11. 18‾\overline{18}.

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