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Add 75/98 and 54/40

1st number: 75/98, 2nd number: 1 14/40

75/98 + 54/40 is 2073/980.

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,
    75/98 = 75 × 20/98 × 20 = 1500/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    54/40 = 54 × 49/40 × 49 = 2646/1960
  4. Add the two like fractions:
    1500/1960 + 2646/1960 = 1500 + 2646/1960 = 4146/1960
  5. 4146/1960 simplified gives 2073/980
  6. So, 75/98 + 54/40 = 2073/980
    In mixed form: 2113/980

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