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Add 18/40 and 49/84

18/40 + 49/84 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 84 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 40 × 21 = 840,
    18/40 = 18 × 21/40 × 21 = 378/840
  3. Likewise, for the 2nd fraction, since 84 × 10 = 840,
    49/84 = 49 × 10/84 × 10 = 490/840
  4. Add the two like fractions:
    378/840 + 490/840 = 378 + 490/840 = 868/840
  5. 868/840 simplified gives 31/30
  6. So, 18/40 + 49/84 = 31/30
    In mixed form: 11/30

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