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Add 42/90 and 3/84

42/90 + 3/84 is 211/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 90 × 14 = 1260,
    42/90 = 42 × 14/90 × 14 = 588/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    3/84 = 3 × 15/84 × 15 = 45/1260
  4. Add the two like fractions:
    588/1260 + 45/1260 = 588 + 45/1260 = 633/1260
  5. 633/1260 simplified gives 211/420
  6. So, 42/90 + 3/84 = 211/420

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