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Add 40/75 and 21/30

40/75 + 21/30 is 37/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 30 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 75 × 2 = 150,
    40/75 = 40 × 2/75 × 2 = 80/150
  3. Likewise, for the 2nd fraction, since 30 × 5 = 150,
    21/30 = 21 × 5/30 × 5 = 105/150
  4. Add the two like fractions:
    80/150 + 105/150 = 80 + 105/150 = 185/150
  5. 185/150 simplified gives 37/30
  6. So, 40/75 + 21/30 = 37/30
    In mixed form: 17/30

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