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Add 40/84 and 98/75

1st number: 40/84, 2nd number: 1 23/75

40/84 + 98/75 is 312/175.

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,
    40/84 = 40 × 25/84 × 25 = 1000/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    98/75 = 98 × 28/75 × 28 = 2744/2100
  4. Add the two like fractions:
    1000/2100 + 2744/2100 = 1000 + 2744/2100 = 3744/2100
  5. 3744/2100 simplified gives 312/175
  6. So, 40/84 + 98/75 = 312/175
    In mixed form: 1137/175

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