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Add 30/84 and 42/90

30/84 + 42/90 is 173/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 90 is 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    30/84 = 30 × 15/84 × 15 = 450/1260
  3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
    42/90 = 42 × 14/90 × 14 = 588/1260
  4. Add the two fractions:
    450/1260 + 588/1260 = 450 + 588/1260 = 1038/1260
  5. 1038/1260 simplified gives 173/210
  6. So, 30/84 + 42/90 = 173/210

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