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Which decimal is equivalent to 
(5)/(6) ?
Choose 1 answer:
(A) 0.83
(B) 
0.8 bar(3)
(c) 
0. bar(83)
(D) 
0. bar(8)

Which decimal is equivalent to 56 \frac{5}{6} ?\newlineChoose 11 answer:\newline(A) 00.8383\newline(B) 0.83 0.8 \overline{3} \newline(C) 0.83 0 . \overline{83} \newline(D) 0.8 0 . \overline{8}

Full solution

Q. Which decimal is equivalent to 56 \frac{5}{6} ?\newlineChoose 11 answer:\newline(A) 00.8383\newline(B) 0.83 0.8 \overline{3} \newline(C) 0.83 0 . \overline{83} \newline(D) 0.8 0 . \overline{8}
  1. Understand the problem: Understand the problem.\newlineWe need to convert the fraction 56\frac{5}{6} into decimal form.
  2. Divide numerator by denominator: Divide the numerator by the denominator. 5÷6=0.83335 \div 6 = 0.8333\ldots
  3. Recognize repeating pattern: Recognize the repeating pattern in the decimal. The decimal repeats the digit 33 indefinitely, which is denoted by a bar over the digit.
  4. Match repeating decimal: Match the repeating decimal to the given choices.\newlineThe correct representation of 0.83330.8333\ldots with a repeating 33 is 0.80.8 with a bar over the 33, which is option (B).

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