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Add 54/84 and 20/45

54/84 + 20/45 is 137/126.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    54/84 = 54 × 15/84 × 15 = 810/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    20/45 = 20 × 28/45 × 28 = 560/1260
  4. Add the two like fractions:
    810/1260 + 560/1260 = 810 + 560/1260 = 1370/1260
  5. 1370/1260 simplified gives 137/126
  6. So, 54/84 + 20/45 = 137/126
    In mixed form: 111/126

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