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Add 21/98 and 40/75

21/98 + 40/75 is 157/210.

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,
    21/98 = 21 × 75/98 × 75 = 1575/7350
  3. Likewise, for the 2nd fraction, since 75 × 98 = 7350,
    40/75 = 40 × 98/75 × 98 = 3920/7350
  4. Add the two like fractions:
    1575/7350 + 3920/7350 = 1575 + 3920/7350 = 5495/7350
  5. 5495/7350 simplified gives 157/210
  6. So, 21/98 + 40/75 = 157/210

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