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Add 54/98 and 18/40

54/98 + 18/40 is 981/980.

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,
    54/98 = 54 × 20/98 × 20 = 1080/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    18/40 = 18 × 49/40 × 49 = 882/1960
  4. Add the two like fractions:
    1080/1960 + 882/1960 = 1080 + 882/1960 = 1962/1960
  5. 1962/1960 simplified gives 981/980
  6. So, 54/98 + 18/40 = 981/980
    In mixed form: 11/980

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