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Add 15/40 and 75/98

15/40 + 75/98 is 447/392.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 98 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 98 × 20 = 1960,
    75/98 = 75 × 20/98 × 20 = 1500/1960
  4. Add the two like fractions:
    735/1960 + 1500/1960 = 735 + 1500/1960 = 2235/1960
  5. 2235/1960 simplified gives 447/392
  6. So, 15/40 + 75/98 = 447/392
    In mixed form: 155/392

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