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Add 40/84 and 35/90

40/84 + 35/90 is 109/126.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 90 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    40/84 = 40 × 15/84 × 15 = 600/1260
  3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
    35/90 = 35 × 14/90 × 14 = 490/1260
  4. Add the two like fractions:
    600/1260 + 490/1260 = 600 + 490/1260 = 1090/1260
  5. 1090/1260 simplified gives 109/126
  6. So, 40/84 + 35/90 = 109/126

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