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Add 18/49 and 42/90

18/49 + 42/90 is 613/735.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 90 is 4410

    Next, find the equivalent fraction of both fractional numbers with denominator 4410
  2. For the 1st fraction, since 49 × 90 = 4410,
    18/49 = 18 × 90/49 × 90 = 1620/4410
  3. Likewise, for the 2nd fraction, since 90 × 49 = 4410,
    42/90 = 42 × 49/90 × 49 = 2058/4410
  4. Add the two like fractions:
    1620/4410 + 2058/4410 = 1620 + 2058/4410 = 3678/4410
  5. 3678/4410 simplified gives 613/735
  6. So, 18/49 + 42/90 = 613/735

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