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Add 42/84 and 70/75

42/84 + 70/75 is 43/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    42/84 = 42 × 25/84 × 25 = 1050/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    70/75 = 70 × 28/75 × 28 = 1960/2100
  4. Add the two like fractions:
    1050/2100 + 1960/2100 = 1050 + 1960/2100 = 3010/2100
  5. 3010/2100 simplified gives 43/30
  6. So, 42/84 + 70/75 = 43/30
    In mixed form: 113/30

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