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Add 70/75 and 21/49

70/75 + 21/49 is 143/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 49 is 3675

    Next, find the equivalent fraction of both fractional numbers with denominator 3675
  2. For the 1st fraction, since 75 × 49 = 3675,
    70/75 = 70 × 49/75 × 49 = 3430/3675
  3. Likewise, for the 2nd fraction, since 49 × 75 = 3675,
    21/49 = 21 × 75/49 × 75 = 1575/3675
  4. Add the two like fractions:
    3430/3675 + 1575/3675 = 3430 + 1575/3675 = 5005/3675
  5. 5005/3675 simplified gives 143/105
  6. So, 70/75 + 21/49 = 143/105
    In mixed form: 138/105

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