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Add 3/45 and 49/63

3/45 + 49/63 is 38/45.

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,
    3/45 = 3 × 7/45 × 7 = 21/315
  3. Likewise, for the 2nd fraction, since 63 × 5 = 315,
    49/63 = 49 × 5/63 × 5 = 245/315
  4. Add the two like fractions:
    21/315 + 245/315 = 21 + 245/315 = 266/315
  5. 266/315 simplified gives 38/45
  6. So, 3/45 + 49/63 = 38/45

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