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Add 1/98 and 28/40

1/98 + 28/40 is 174/245.

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,
    1/98 = 1 × 20/98 × 20 = 20/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    28/40 = 28 × 49/40 × 49 = 1372/1960
  4. Add the two like fractions:
    20/1960 + 1372/1960 = 20 + 1372/1960 = 1392/1960
  5. 1392/1960 simplified gives 174/245
  6. So, 1/98 + 28/40 = 174/245

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