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Add 84/75 and 70/42

1st number: 1 9/75, 2nd number: 1 28/42

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

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 42 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    84/75 = 84 × 14/75 × 14 = 1176/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    70/42 = 70 × 25/42 × 25 = 1750/1050
  4. Add the two like fractions:
    1176/1050 + 1750/1050 = 1176 + 1750/1050 = 2926/1050
  5. 2926/1050 simplified gives 209/75
  6. So, 84/75 + 70/42 = 209/75
    In mixed form: 259/75

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