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Add 10/84 and 30/45

10/84 + 30/45 is 11/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    10/84 = 10 × 15/84 × 15 = 150/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    30/45 = 30 × 28/45 × 28 = 840/1260
  4. Add the two fractions:
    150/1260 + 840/1260 = 150 + 840/1260 = 990/1260
  5. 990/1260 simplified gives 11/14
  6. So, 10/84 + 30/45 = 11/14

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