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Add 18/49 and 28/40

18/49 + 28/40 is 523/490.

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,
    18/49 = 18 × 40/49 × 40 = 720/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    28/40 = 28 × 49/40 × 49 = 1372/1960
  4. Add the two like fractions:
    720/1960 + 1372/1960 = 720 + 1372/1960 = 2092/1960
  5. 2092/1960 simplified gives 523/490
  6. So, 18/49 + 28/40 = 523/490
    In mixed form: 133/490

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