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Add 48/81 and 42/49

48/81 + 42/49 is 274/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 81 and 49 is 3969

    Next, find the equivalent fraction of both fractional numbers with denominator 3969
  2. For the 1st fraction, since 81 × 49 = 3969,
    48/81 = 48 × 49/81 × 49 = 2352/3969
  3. Likewise, for the 2nd fraction, since 49 × 81 = 3969,
    42/49 = 42 × 81/49 × 81 = 3402/3969
  4. Add the two like fractions:
    2352/3969 + 3402/3969 = 2352 + 3402/3969 = 5754/3969
  5. 5754/3969 simplified gives 274/189
  6. So, 48/81 + 42/49 = 274/189
    In mixed form: 185/189

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