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Add 6/35 and 42/45

6/35 + 42/45 is 116/105.

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,
    6/35 = 6 × 9/35 × 9 = 54/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two like fractions:
    54/315 + 294/315 = 54 + 294/315 = 348/315
  5. 348/315 simplified gives 116/105
  6. So, 6/35 + 42/45 = 116/105
    In mixed form: 111/105

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