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Add 9/98 and 40/90

9/98 + 40/90 is 473/882.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 90 is 4410

    Next, find the equivalent fraction of both fractional numbers with denominator 4410
  2. For the 1st fraction, since 98 × 45 = 4410,
    9/98 = 9 × 45/98 × 45 = 405/4410
  3. Likewise, for the 2nd fraction, since 90 × 49 = 4410,
    40/90 = 40 × 49/90 × 49 = 1960/4410
  4. Add the two like fractions:
    405/4410 + 1960/4410 = 405 + 1960/4410 = 2365/4410
  5. 2365/4410 simplified gives 473/882
  6. So, 9/98 + 40/90 = 473/882

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