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Add 21/98 and 36/40

21/98 + 36/40 is 39/35.

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,
    21/98 = 21 × 20/98 × 20 = 420/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    36/40 = 36 × 49/40 × 49 = 1764/1960
  4. Add the two like fractions:
    420/1960 + 1764/1960 = 420 + 1764/1960 = 2184/1960
  5. 2184/1960 simplified gives 39/35
  6. So, 21/98 + 36/40 = 39/35
    In mixed form: 14/35

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