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Add 30/42 and 40/54

30/42 + 40/54 is 275/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 54 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 42 × 9 = 378,
    30/42 = 30 × 9/42 × 9 = 270/378
  3. Likewise, for the 2nd fraction, since 54 × 7 = 378,
    40/54 = 40 × 7/54 × 7 = 280/378
  4. Add the two like fractions:
    270/378 + 280/378 = 270 + 280/378 = 550/378
  5. 550/378 simplified gives 275/189
  6. So, 30/42 + 40/54 = 275/189
    In mixed form: 186/189

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