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27+58\frac{2}{7} + \frac{5}{8}

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Add and subtract rational numbersright chevron icon

Full solution

Q. 27+58\frac{2}{7} + \frac{5}{8}
  1. Find common denominator: Find a common denominator for 27\frac{2}{7} and 58\frac{5}{8}. The least common multiple of 77 and 88 is 5656. So, we convert 27\frac{2}{7} and 58\frac{5}{8} to have the denominator of 5656. 27=(2×8)(7×8)=1656\frac{2}{7} = \frac{(2\times8)}{(7\times8)} = \frac{16}{56} 58=(5×7)(8×7)=3556\frac{5}{8} = \frac{(5\times7)}{(8\times7)} = \frac{35}{56}
  2. Convert fractions: Now, add the two fractions with the common denominator.\newline1656+3556=16+3556\frac{16}{56} + \frac{35}{56} = \frac{16 + 35}{56}\newline=5156= \frac{51}{56}

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