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Add 9/98 and 45/50

9/98 + 45/50 is 243/245.

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,
    9/98 = 9 × 25/98 × 25 = 225/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    45/50 = 45 × 49/50 × 49 = 2205/2450
  4. Add the two like fractions:
    225/2450 + 2205/2450 = 225 + 2205/2450 = 2430/2450
  5. 2430/2450 simplified gives 243/245
  6. So, 9/98 + 45/50 = 243/245

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