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Add 40/75 and 16/30

40/75 + 16/30 is 16/15.

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,
    16/30 = 16 × 5/30 × 5 = 80/150
  4. Add the two like fractions:
    80/150 + 80/150 = 80 + 80/150 = 160/150
  5. 160/150 simplified gives 16/15
  6. So, 40/75 + 16/30 = 16/15
    In mixed form: 11/15

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