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Add 21/45 and 30/84

21/45 + 30/84 is 173/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    21/45 = 21 × 28/45 × 28 = 588/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    30/84 = 30 × 15/84 × 15 = 450/1260
  4. Add the two like fractions:
    588/1260 + 450/1260 = 588 + 450/1260 = 1038/1260
  5. 1038/1260 simplified gives 173/210
  6. So, 21/45 + 30/84 = 173/210

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