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Add 27/45 and 18/63

27/45 + 18/63 is 31/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 63 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    27/45 = 27 × 7/45 × 7 = 189/315
  3. Likewise, for the 2nd fraction, since 63 × 5 = 315,
    18/63 = 18 × 5/63 × 5 = 90/315
  4. Add the two like fractions:
    189/315 + 90/315 = 189 + 90/315 = 279/315
  5. 279/315 simplified gives 31/35
  6. So, 27/45 + 18/63 = 31/35

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