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Add 14/35 and 40/45

14/35 + 40/45 is 58/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    14/35 = 14 × 9/35 × 9 = 126/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    40/45 = 40 × 7/45 × 7 = 280/315
  4. Add the two like fractions:
    126/315 + 280/315 = 126 + 280/315 = 406/315
  5. 406/315 simplified gives 58/45
  6. So, 14/35 + 40/45 = 58/45
    In mixed form: 113/45

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