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Add 1/98 and 45/50

1/98 + 45/50 is 223/245.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2450
  2. For the 1st fraction, since 98 × 25 = 2450,
    1/98 = 1 × 25/98 × 25 = 25/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    45/50 = 45 × 49/50 × 49 = 2205/2450
  4. Add the two like fractions:
    25/2450 + 2205/2450 = 25 + 2205/2450 = 2230/2450
  5. 2230/2450 simplified gives 223/245
  6. So, 1/98 + 45/50 = 223/245

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