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Add 75/84 and 27/80

75/84 + 27/80 is 689/560.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 80 is 1680

    Next, find the equivalent fraction of both fractional numbers with denominator 1680
  2. For the 1st fraction, since 84 × 20 = 1680,
    75/84 = 75 × 20/84 × 20 = 1500/1680
  3. Likewise, for the 2nd fraction, since 80 × 21 = 1680,
    27/80 = 27 × 21/80 × 21 = 567/1680
  4. Add the two like fractions:
    1500/1680 + 567/1680 = 1500 + 567/1680 = 2067/1680
  5. 2067/1680 simplified gives 689/560
  6. So, 75/84 + 27/80 = 689/560
    In mixed form: 1129/560

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