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Which decimal is equivalent to 
(25)/(6) ?
Choose 1 answer:
(A) 
4. bar(1)
(B) 
4. bar(16)
(C) 
4.1 bar(6)
(D) 
4. bar(667)

Which decimal is equivalent to 256\frac{25}{6} ?\newlineChoose 11 answer:\newline(A) 4.14.\overline{1}\newline(B) 4.164.\overline{16}\newline(C) 4.164.1\overline{6}\newline(D) 4.6674.\overline{667}

Full solution

Q. Which decimal is equivalent to 256\frac{25}{6} ?\newlineChoose 11 answer:\newline(A) 4.14.\overline{1}\newline(B) 4.164.\overline{16}\newline(C) 4.164.1\overline{6}\newline(D) 4.6674.\overline{667}
  1. Divide Fraction: Divide 2525 by 66 to convert the fraction (25)/(6)(25)/(6) into a decimal.\newlineCalculation: 25÷6=4.166666...25 \div 6 = 4.166666...
  2. Identify Repeating Pattern: Identify the repeating pattern in the decimal.\newlineObservation: The repeating pattern is '66', which repeats indefinitely after the decimal point.
  3. Match Repeating Pattern: Match the repeating pattern to the given options.\newlineComparison: The repeating pattern 66 matches with option (C) which is 4.164.1\overline{6}.
  4. Confirm Other Options: Confirm that none of the other options match the decimal equivalent of (25)/(6)(25)/(6).\newlineVerification: Options (A), (B), and (D) do not match the repeating pattern '66' observed in the decimal conversion of (25)/(6)(25)/(6).

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