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Add 84/75 and 40/84

1st number: 1 9/75, 2nd number: 40/84

84/75 + 40/84 is 838/525.

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,
    40/84 = 40 × 25/84 × 25 = 1000/2100
  4. Add the two like fractions:
    2352/2100 + 1000/2100 = 2352 + 1000/2100 = 3352/2100
  5. 3352/2100 simplified gives 838/525
  6. So, 84/75 + 40/84 = 838/525
    In mixed form: 1313/525

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