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Add 42/70 and 75/84

42/70 + 75/84 is 209/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 70 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 70 × 6 = 420,
    42/70 = 42 × 6/70 × 6 = 252/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    75/84 = 75 × 5/84 × 5 = 375/420
  4. Add the two like fractions:
    252/420 + 375/420 = 252 + 375/420 = 627/420
  5. 627/420 simplified gives 209/140
  6. So, 42/70 + 75/84 = 209/140
    In mixed form: 169/140

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