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Add 30/84 and 27/40

30/84 + 27/40 is 289/280.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 40 is 840
  2. For the 1st fraction, since 84 × 10 = 840,
    30/84 = 30 × 10/84 × 10 = 300/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    27/40 = 27 × 21/40 × 21 = 567/840
  4. Add the two fractions:
    300/840 + 567/840 = 300 + 567/840 = 867/840
  5. 867/840 simplified gives 289/280
  6. So, 30/84 + 27/40 = 289/280
    In mixed form: 19/280

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