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Add 27/35 and 40/98

27/35 + 40/98 is 289/245.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 98 is 490

    Next, find the equivalent fraction of both fractional numbers with denominator 490
  2. For the 1st fraction, since 35 × 14 = 490,
    27/35 = 27 × 14/35 × 14 = 378/490
  3. Likewise, for the 2nd fraction, since 98 × 5 = 490,
    40/98 = 40 × 5/98 × 5 = 200/490
  4. Add the two like fractions:
    378/490 + 200/490 = 378 + 200/490 = 578/490
  5. 578/490 simplified gives 289/245
  6. So, 27/35 + 40/98 = 289/245
    In mixed form: 144/245

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