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Add 7/98 and 35/40

7/98 + 35/40 is 53/56.

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,
    7/98 = 7 × 20/98 × 20 = 140/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    35/40 = 35 × 49/40 × 49 = 1715/1960
  4. Add the two like fractions:
    140/1960 + 1715/1960 = 140 + 1715/1960 = 1855/1960
  5. 1855/1960 simplified gives 53/56
  6. So, 7/98 + 35/40 = 53/56

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