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Add 4/15 and 45/63

4/15 + 45/63 is 103/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 63 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 15 × 21 = 315,
    4/15 = 4 × 21/15 × 21 = 84/315
  3. Likewise, for the 2nd fraction, since 63 × 5 = 315,
    45/63 = 45 × 5/63 × 5 = 225/315
  4. Add the two like fractions:
    84/315 + 225/315 = 84 + 225/315 = 309/315
  5. 309/315 simplified gives 103/105
  6. So, 4/15 + 45/63 = 103/105

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