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Add 21/30 and 12/45

21/30 + 12/45 is 29/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 30 × 3 = 90,
    21/30 = 21 × 3/30 × 3 = 63/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    12/45 = 12 × 2/45 × 2 = 24/90
  4. Add the two like fractions:
    63/90 + 24/90 = 63 + 24/90 = 87/90
  5. 87/90 simplified gives 29/30
  6. So, 21/30 + 12/45 = 29/30

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