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Add 84/75 and 70/84

1st number: 1 9/75, 2nd number: 70/84

84/75 + 70/84 is 293/150.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    84/75 = 84 × 28/75 × 28 = 2352/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    70/84 = 70 × 25/84 × 25 = 1750/2100
  4. Add the two like fractions:
    2352/2100 + 1750/2100 = 2352 + 1750/2100 = 4102/2100
  5. 4102/2100 simplified gives 293/150
  6. So, 84/75 + 70/84 = 293/150
    In mixed form: 1143/150

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