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Add 30/35 and 18/21

30/35 + 18/21 is 12/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 21 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 35 × 3 = 105,
    30/35 = 30 × 3/35 × 3 = 90/105
  3. Likewise, for the 2nd fraction, since 21 × 5 = 105,
    18/21 = 18 × 5/21 × 5 = 90/105
  4. Add the two like fractions:
    90/105 + 90/105 = 90 + 90/105 = 180/105
  5. 180/105 simplified gives 12/7
  6. So, 30/35 + 18/21 = 12/7
    In mixed form: 15/7

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