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Add 15/40 and 16/49

15/40 + 16/49 is 275/392.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 40 × 49 = 1960,
    15/40 = 15 × 49/40 × 49 = 735/1960
  3. Likewise, for the 2nd fraction, since 49 × 40 = 1960,
    16/49 = 16 × 40/49 × 40 = 640/1960
  4. Add the two like fractions:
    735/1960 + 640/1960 = 735 + 640/1960 = 1375/1960
  5. 1375/1960 simplified gives 275/392
  6. So, 15/40 + 16/49 = 275/392

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