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Add 28/49 and 7/40

28/49 + 7/40 is 209/280.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 40 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 49 × 40 = 1960,
    28/49 = 28 × 40/49 × 40 = 1120/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    7/40 = 7 × 49/40 × 49 = 343/1960
  4. Add the two like fractions:
    1120/1960 + 343/1960 = 1120 + 343/1960 = 1463/1960
  5. 1463/1960 simplified gives 209/280
  6. So, 28/49 + 7/40 = 209/280

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