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Add 4/5 and 9/21

4/5 + 9/21 is 43/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 21 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 5 × 21 = 105,
    4/5 = 4 × 21/5 × 21 = 84/105
  3. Likewise, for the 2nd fraction, since 21 × 5 = 105,
    9/21 = 9 × 5/21 × 5 = 45/105
  4. Add the two like fractions:
    84/105 + 45/105 = 84 + 45/105 = 129/105
  5. 129/105 simplified gives 43/35
  6. So, 4/5 + 9/21 = 43/35
    In mixed form: 18/35

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