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Add 40/48 and 1/49

40/48 + 1/49 is 251/294.

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,
    40/48 = 40 × 49/48 × 49 = 1960/2352
  3. Likewise, for the 2nd fraction, since 49 × 48 = 2352,
    1/49 = 1 × 48/49 × 48 = 48/2352
  4. Add the two like fractions:
    1960/2352 + 48/2352 = 1960 + 48/2352 = 2008/2352
  5. 2008/2352 simplified gives 251/294
  6. So, 40/48 + 1/49 = 251/294

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