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Add 4/15 and 21/35

4/15 + 21/35 is 13/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 35 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 15 × 7 = 105,
    4/15 = 4 × 7/15 × 7 = 28/105
  3. Likewise, for the 2nd fraction, since 35 × 3 = 105,
    21/35 = 21 × 3/35 × 3 = 63/105
  4. Add the two like fractions:
    28/105 + 63/105 = 28 + 63/105 = 91/105
  5. 91/105 simplified gives 13/15
  6. So, 4/15 + 21/35 = 13/15

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