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Add 49/50 and 21/98

49/50 + 21/98 is 209/175.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 50 and 98 is 2450

    Next, find the equivalent fraction of both fractional numbers with denominator 2450
  2. For the 1st fraction, since 50 × 49 = 2450,
    49/50 = 49 × 49/50 × 49 = 2401/2450
  3. Likewise, for the 2nd fraction, since 98 × 25 = 2450,
    21/98 = 21 × 25/98 × 25 = 525/2450
  4. Add the two like fractions:
    2401/2450 + 525/2450 = 2401 + 525/2450 = 2926/2450
  5. 2926/2450 simplified gives 209/175
  6. So, 49/50 + 21/98 = 209/175
    In mixed form: 134/175

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