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Add 40/75 and 90/98

40/75 + 90/98 is 1067/735.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 98 is 7350

    Next, find the equivalent fraction of both fractional numbers with denominator 7350
  2. For the 1st fraction, since 75 × 98 = 7350,
    40/75 = 40 × 98/75 × 98 = 3920/7350
  3. Likewise, for the 2nd fraction, since 98 × 75 = 7350,
    90/98 = 90 × 75/98 × 75 = 6750/7350
  4. Add the two like fractions:
    3920/7350 + 6750/7350 = 3920 + 6750/7350 = 10670/7350
  5. 10670/7350 simplified gives 1067/735
  6. So, 40/75 + 90/98 = 1067/735
    In mixed form: 1332/735

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