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Add 3/4 and 7/21

3/4 + 7/21 is 13/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 21 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 4 × 21 = 84,
    3/4 = 3 × 21/4 × 21 = 63/84
  3. Likewise, for the 2nd fraction, since 21 × 4 = 84,
    7/21 = 7 × 4/21 × 4 = 28/84
  4. Add the two like fractions:
    63/84 + 28/84 = 63 + 28/84 = 91/84
  5. 91/84 simplified gives 13/12
  6. So, 3/4 + 7/21 = 13/12
    In mixed form: 11/12

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