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Add 27/98 and 14/40

27/98 + 14/40 is 613/980.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 40 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 98 × 20 = 1960,
    27/98 = 27 × 20/98 × 20 = 540/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    14/40 = 14 × 49/40 × 49 = 686/1960
  4. Add the two like fractions:
    540/1960 + 686/1960 = 540 + 686/1960 = 1226/1960
  5. 1226/1960 simplified gives 613/980
  6. So, 27/98 + 14/40 = 613/980

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