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Add 42/45 and 2/35

42/45 + 2/35 is 104/105.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  3. Likewise, for the 2nd fraction, since 35 × 9 = 315,
    2/35 = 2 × 9/35 × 9 = 18/315
  4. Add the two like fractions:
    294/315 + 18/315 = 294 + 18/315 = 312/315
  5. 312/315 simplified gives 104/105
  6. So, 42/45 + 2/35 = 104/105

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