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Add 40/75 and 8/12

40/75 + 8/12 is 6/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 12 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 75 × 4 = 300,
    40/75 = 40 × 4/75 × 4 = 160/300
  3. Likewise, for the 2nd fraction, since 12 × 25 = 300,
    8/12 = 8 × 25/12 × 25 = 200/300
  4. Add the two like fractions:
    160/300 + 200/300 = 160 + 200/300 = 360/300
  5. 360/300 simplified gives 6/5
  6. So, 40/75 + 8/12 = 6/5
    In mixed form: 11/5

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