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Add 10/40 and 10/98

10/40 + 10/98 is 69/196.

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,
    10/40 = 10 × 49/40 × 49 = 490/1960
  3. Likewise, for the 2nd fraction, since 98 × 20 = 1960,
    10/98 = 10 × 20/98 × 20 = 200/1960
  4. Add the two like fractions:
    490/1960 + 200/1960 = 490 + 200/1960 = 690/1960
  5. 690/1960 simplified gives 69/196
  6. So, 10/40 + 10/98 = 69/196

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