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Add 84/98 and 7/40

84/98 + 7/40 is 289/280.

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,
    84/98 = 84 × 20/98 × 20 = 1680/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    7/40 = 7 × 49/40 × 49 = 343/1960
  4. Add the two like fractions:
    1680/1960 + 343/1960 = 1680 + 343/1960 = 2023/1960
  5. 2023/1960 simplified gives 289/280
  6. So, 84/98 + 7/40 = 289/280
    In mixed form: 19/280

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