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Add 8/30 and 21/27

8/30 + 21/27 is 47/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 27 is 270

    Next, find the equivalent fraction of both fractional numbers with denominator 270
  2. For the 1st fraction, since 30 × 9 = 270,
    8/30 = 8 × 9/30 × 9 = 72/270
  3. Likewise, for the 2nd fraction, since 27 × 10 = 270,
    21/27 = 21 × 10/27 × 10 = 210/270
  4. Add the two like fractions:
    72/270 + 210/270 = 72 + 210/270 = 282/270
  5. 282/270 simplified gives 47/45
  6. So, 8/30 + 21/27 = 47/45
    In mixed form: 12/45

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