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Convert 1458\frac{145}{8} into a rational number.

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Q. Convert 1458\frac{145}{8} into a rational number.
  1. Divide 145145 by 88: To convert the improper fraction 1458\frac{145}{8} into a mixed number, we need to divide 145145 by 88. \newline145÷8=18145 \div 8 = 18 with a remainder of 11.
  2. Identify whole number and remainder: The quotient 1818 will be the whole number part of the mixed number, and the remainder 11 will be the numerator of the fractional part.
  3. Determine fractional part: The denominator of the fractional part will remain the same as the original denominator, which is 88.
  4. Combine whole number and fraction: Therefore, the mixed number equivalent of 1458\frac{145}{8} is 181818\frac{1}{8}.

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