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Add 9/98 and 16/40

9/98 + 16/40 is 241/490.

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,
    9/98 = 9 × 20/98 × 20 = 180/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    16/40 = 16 × 49/40 × 49 = 784/1960
  4. Add the two like fractions:
    180/1960 + 784/1960 = 180 + 784/1960 = 964/1960
  5. 964/1960 simplified gives 241/490
  6. So, 9/98 + 16/40 = 241/490

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