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Add 21/30 and 30/75

21/30 + 30/75 is 11/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 30 × 5 = 150,
    21/30 = 21 × 5/30 × 5 = 105/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    30/75 = 30 × 2/75 × 2 = 60/150
  4. Add the two like fractions:
    105/150 + 60/150 = 105 + 60/150 = 165/150
  5. 165/150 simplified gives 11/10
  6. So, 21/30 + 30/75 = 11/10
    In mixed form: 11/10

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