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Add 5/98 and 12/40

5/98 + 12/40 is 86/245.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 40 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 98 × 20 = 1960,
    5/98 = 5 × 20/98 × 20 = 100/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    12/40 = 12 × 49/40 × 49 = 588/1960
  4. Add the two like fractions:
    100/1960 + 588/1960 = 100 + 588/1960 = 688/1960
  5. 688/1960 simplified gives 86/245
  6. So, 5/98 + 12/40 = 86/245

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