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Add 4/7 and 21/27

4/7 + 21/27 is 85/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 27 is 189
  2. For the 1st fraction, since 7 × 27 = 189,
    4/7 = 4 × 27/7 × 27 = 108/189
  3. Likewise, for the 2nd fraction, since 27 × 7 = 189,
    21/27 = 21 × 7/27 × 7 = 147/189
  4. Add the two fractions:
    108/189 + 147/189 = 108 + 147/189 = 255/189
  5. After reducing the fraction, the answer is 85/63
  6. In mixed form: 122/63

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