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(5)/(2)-(2)/(5)

52−25 \frac{5}{2}-\frac{2}{5}

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Full solution

Q. 52−25 \frac{5}{2}-\frac{2}{5}
  1. Find Common Denominator: Find a common denominator for the fractions 52\frac{5}{2} and 25\frac{2}{5}.\newlineCommon denominator of 22 and 55 is 1010.\newlineConvert fractions to have the same denominator.\newline52\frac{5}{2} becomes 2510\frac{25}{10} and 25\frac{2}{5} becomes 410\frac{4}{10}.
  2. Convert Fractions: Subtract the two fractions with the common denominator.\newline(2510)−(410)=(25−410)(\frac{25}{10}) - (\frac{4}{10}) = (\frac{25 - 4}{10}).\newlineCalculate the subtraction in the numerator.\newline25−4=2125 - 4 = 21.
  3. Subtract Fractions: Write the result as a fraction with the common denominator.\newline(2110)(\frac{21}{10}) is the final fraction.\newlineSimplify if possible.

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