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Add 35/98 and 45/40

1st number: 35/98, 2nd number: 1 5/40

35/98 + 45/40 is 83/56.

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,
    35/98 = 35 × 20/98 × 20 = 700/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    45/40 = 45 × 49/40 × 49 = 2205/1960
  4. Add the two like fractions:
    700/1960 + 2205/1960 = 700 + 2205/1960 = 2905/1960
  5. 2905/1960 simplified gives 83/56
  6. So, 35/98 + 45/40 = 83/56
    In mixed form: 127/56

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