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Add 27/45 and 42/98

27/45 + 42/98 is 36/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 98 is 4410

    Next, find the equivalent fraction of both fractional numbers with denominator 4410
  2. For the 1st fraction, since 45 × 98 = 4410,
    27/45 = 27 × 98/45 × 98 = 2646/4410
  3. Likewise, for the 2nd fraction, since 98 × 45 = 4410,
    42/98 = 42 × 45/98 × 45 = 1890/4410
  4. Add the two like fractions:
    2646/4410 + 1890/4410 = 2646 + 1890/4410 = 4536/4410
  5. 4536/4410 simplified gives 36/35
  6. So, 27/45 + 42/98 = 36/35
    In mixed form: 11/35

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