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Add 40/75 and 45/84

40/75 + 45/84 is 449/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 84 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    40/75 = 40 × 28/75 × 28 = 1120/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    45/84 = 45 × 25/84 × 25 = 1125/2100
  4. Add the two like fractions:
    1120/2100 + 1125/2100 = 1120 + 1125/2100 = 2245/2100
  5. 2245/2100 simplified gives 449/420
  6. So, 40/75 + 45/84 = 449/420
    In mixed form: 129/420

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