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Add 75/21 and 42/27

1st number: 3 12/21, 2nd number: 1 15/27

75/21 + 42/27 is 323/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 27 is 189

    Next, find the equivalent fraction of both fractional numbers with denominator 189
  2. For the 1st fraction, since 21 × 9 = 189,
    75/21 = 75 × 9/21 × 9 = 675/189
  3. Likewise, for the 2nd fraction, since 27 × 7 = 189,
    42/27 = 42 × 7/27 × 7 = 294/189
  4. Add the two like fractions:
    675/189 + 294/189 = 675 + 294/189 = 969/189
  5. 969/189 simplified gives 323/63
  6. So, 75/21 + 42/27 = 323/63
    In mixed form: 58/63

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