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Add 27/48 and 40/49

27/48 + 40/49 is 1081/784.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 48 and 49 is 2352

    Next, find the equivalent fraction of both fractional numbers with denominator 2352
  2. For the 1st fraction, since 48 × 49 = 2352,
    27/48 = 27 × 49/48 × 49 = 1323/2352
  3. Likewise, for the 2nd fraction, since 49 × 48 = 2352,
    40/49 = 40 × 48/49 × 48 = 1920/2352
  4. Add the two like fractions:
    1323/2352 + 1920/2352 = 1323 + 1920/2352 = 3243/2352
  5. 3243/2352 simplified gives 1081/784
  6. So, 27/48 + 40/49 = 1081/784
    In mixed form: 1297/784

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