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Add 40/75 and 42/54

40/75 + 42/54 is 59/45.

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,
    40/75 = 40 × 18/75 × 18 = 720/1350
  3. Likewise, for the 2nd fraction, since 54 × 25 = 1350,
    42/54 = 42 × 25/54 × 25 = 1050/1350
  4. Add the two like fractions:
    720/1350 + 1050/1350 = 720 + 1050/1350 = 1770/1350
  5. 1770/1350 simplified gives 59/45
  6. So, 40/75 + 42/54 = 59/45
    In mixed form: 114/45

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