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24+67\frac{2}{4} + \frac{6}{7}

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Add and subtract rational numbersright chevron icon

Full solution

Q. 24+67\frac{2}{4} + \frac{6}{7}
  1. Find common denominator: Find a common denominator for 24\frac{2}{4} and 67\frac{6}{7}. The least common multiple of 44 and 77 is 2828.\newlineSo, convert each fraction to have a denominator of 2828.\newline24=(2×74×7)=1428\frac{2}{4} = \left(\frac{2\times7}{4\times7}\right) = \frac{14}{28}\newline67=(6×47×4)=2428\frac{6}{7} = \left(\frac{6\times4}{7\times4}\right) = \frac{24}{28}
  2. Convert fractions: Now, add the two fractions with the common denominator.\newline1428+2428=14+2428\frac{14}{28} + \frac{24}{28} = \frac{14 + 24}{28}
  3. Add fractions: Perform the addition.\newline(1428+2428)=3828(\frac{14}{28} + \frac{24}{28}) = \frac{38}{28}
  4. Perform addition: Simplify the fraction 3828\frac{38}{28} by dividing both the numerator and the denominator by their greatest common divisor, which is 22.3828=38/228/2=1914\frac{38}{28} = \frac{38/2}{28/2} = \frac{19}{14}
  5. Simplify fraction: The fraction 19/1419/14 is an improper fraction, so we can also express it as a mixed number.\newline19/14=151419/14 = 1 \frac{5}{14}

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