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Add 1/40 and 21/98

1/40 + 21/98 is 67/280.

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,
    1/40 = 1 × 49/40 × 49 = 49/1960
  3. Likewise, for the 2nd fraction, since 98 × 20 = 1960,
    21/98 = 21 × 20/98 × 20 = 420/1960
  4. Add the two like fractions:
    49/1960 + 420/1960 = 49 + 420/1960 = 469/1960
  5. 469/1960 simplified gives 67/280
  6. So, 1/40 + 21/98 = 67/280

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