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Add 45/42 and 45/81

1st number: 1 3/42, 2nd number: 45/81

45/42 + 45/81 is 205/126.

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,
    45/81 = 45 × 14/81 × 14 = 630/1134
  4. Add the two like fractions:
    1215/1134 + 630/1134 = 1215 + 630/1134 = 1845/1134
  5. 1845/1134 simplified gives 205/126
  6. So, 45/42 + 45/81 = 205/126
    In mixed form: 179/126

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