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Add 45/42 and 30/81

1st number: 1 3/42, 2nd number: 30/81

45/42 + 30/81 is 545/378.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 81 is 1134

    Next, find the equivalent fraction of both fractional numbers with denominator 1134
  2. For the 1st fraction, since 42 × 27 = 1134,
    45/42 = 45 × 27/42 × 27 = 1215/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    30/81 = 30 × 14/81 × 14 = 420/1134
  4. Add the two like fractions:
    1215/1134 + 420/1134 = 1215 + 420/1134 = 1635/1134
  5. 1635/1134 simplified gives 545/378
  6. So, 45/42 + 30/81 = 545/378
    In mixed form: 1167/378

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