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Add 1/2 and 40/75

1/2 + 40/75 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 2 × 75 = 150,
    1/2 = 1 × 75/2 × 75 = 75/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    40/75 = 40 × 2/75 × 2 = 80/150
  4. Add the two like fractions:
    75/150 + 80/150 = 75 + 80/150 = 155/150
  5. 155/150 simplified gives 31/30
  6. So, 1/2 + 40/75 = 31/30
    In mixed form: 11/30

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