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Add 30/75 and 40/54

30/75 + 40/54 is 154/135.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 54 is 1350

    Next, find the equivalent fraction of both fractional numbers with denominator 1350
  2. For the 1st fraction, since 75 × 18 = 1350,
    30/75 = 30 × 18/75 × 18 = 540/1350
  3. Likewise, for the 2nd fraction, since 54 × 25 = 1350,
    40/54 = 40 × 25/54 × 25 = 1000/1350
  4. Add the two like fractions:
    540/1350 + 1000/1350 = 540 + 1000/1350 = 1540/1350
  5. 1540/1350 simplified gives 154/135
  6. So, 30/75 + 40/54 = 154/135
    In mixed form: 119/135

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