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Add 3/35 and 42/45

3/35 + 42/45 is 107/105.

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,
    3/35 = 3 × 9/35 × 9 = 27/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two like fractions:
    27/315 + 294/315 = 27 + 294/315 = 321/315
  5. 321/315 simplified gives 107/105
  6. So, 3/35 + 42/45 = 107/105
    In mixed form: 12/105

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