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Which decimal is equivalent to (11)/(25) ? Choose 1 answer: (A) 0.44 (B) 0. bar(4) (C) 2.2 bar(7) (D) 2. bar(27)

Which decimal is equivalent to 1125 \frac{11}{25} ?\newlineChoose 11 answer:\newline(A) 00.4444\newline(B) 0.4‾ 0 . \overline{4} \newline(C) 2.27‾ 2.2 \overline{7} \newline(D) 2.27‾ 2 . \overline{27}

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Full solution

Q. Which decimal is equivalent to 1125 \frac{11}{25} ?\newlineChoose 11 answer:\newline(A) 00.4444\newline(B) 0.4‾ 0 . \overline{4} \newline(C) 2.27‾ 2.2 \overline{7} \newline(D) 2.27‾ 2 . \overline{27}
  1. Understand the problem: Understand the problem.\newlineWe need to convert the fraction (11)/(25)(11)/(25) into a decimal.
  2. Divide numerator by denominator: Divide the numerator by the denominator. 11÷25=0.4411 \div 25 = 0.44
  3. Check answer choices: Check the answer choices to see which one matches our result.\newline(A) 0.440.44 matches our calculation.\newline(B) 0.4‾0.\overline{4} implies a repeating decimal, which is not the case here.\newline(C) 2.27‾2.2\overline{7} is much larger than our result.\newline(D) 2.27‾2.\overline{27} is also much larger than our result.
  4. Confirm decimal does not repeat: Confirm that the decimal 0.440.44 does not repeat.\newlineSince 2525 is a factor of 100100, the fraction (11)/(25)(11)/(25) will convert into a terminating decimal without any repeating digits.

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