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Add 36/42 and 48/81

36/42 + 48/81 is 274/189.

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,
    36/42 = 36 × 27/42 × 27 = 972/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    48/81 = 48 × 14/81 × 14 = 672/1134
  4. Add the two like fractions:
    972/1134 + 672/1134 = 972 + 672/1134 = 1644/1134
  5. 1644/1134 simplified gives 274/189
  6. So, 36/42 + 48/81 = 274/189
    In mixed form: 185/189

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