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Add 20/54 and 40/75

20/54 + 40/75 is 122/135.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1350
  2. For the 1st fraction, since 54 × 25 = 1350,
    20/54 = 20 × 25/54 × 25 = 500/1350
  3. Likewise, for the 2nd fraction, since 75 × 18 = 1350,
    40/75 = 40 × 18/75 × 18 = 720/1350
  4. Add the two like fractions:
    500/1350 + 720/1350 = 500 + 720/1350 = 1220/1350
  5. 1220/1350 simplified gives 122/135
  6. So, 20/54 + 40/75 = 122/135

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