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Add 6/45 and 75/84

6/45 + 75/84 is 431/420.

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,
    6/45 = 6 × 28/45 × 28 = 168/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    75/84 = 75 × 15/84 × 15 = 1125/1260
  4. Add the two like fractions:
    168/1260 + 1125/1260 = 168 + 1125/1260 = 1293/1260
  5. 1293/1260 simplified gives 431/420
  6. So, 6/45 + 75/84 = 431/420
    In mixed form: 111/420

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