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Add 40/75 and 7/30

40/75 + 7/30 is 23/30.

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,
    7/30 = 7 × 5/30 × 5 = 35/150
  4. Add the two like fractions:
    80/150 + 35/150 = 80 + 35/150 = 115/150
  5. 115/150 simplified gives 23/30
  6. So, 40/75 + 7/30 = 23/30

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