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Add 40/75 and 21/84

40/75 + 21/84 is 47/60.

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,
    21/84 = 21 × 25/84 × 25 = 525/2100
  4. Add the two like fractions:
    1120/2100 + 525/2100 = 1120 + 525/2100 = 1645/2100
  5. 1645/2100 simplified gives 47/60
  6. So, 40/75 + 21/84 = 47/60

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