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Add 40/98 and 7/75

40/98 + 7/75 is 1843/3675.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 7350
  2. For the 1st fraction, since 98 × 75 = 7350,
    40/98 = 40 × 75/98 × 75 = 3000/7350
  3. Likewise, for the 2nd fraction, since 75 × 98 = 7350,
    7/75 = 7 × 98/75 × 98 = 686/7350
  4. Add the two like fractions:
    3000/7350 + 686/7350 = 3000 + 686/7350 = 3686/7350
  5. 3686/7350 simplified gives 1843/3675
  6. So, 40/98 + 7/75 = 1843/3675

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