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Add 3/49 and 42/63

3/49 + 42/63 is 107/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 63 is 441

    Next, find the equivalent fraction of both fractional numbers with denominator 441
  2. For the 1st fraction, since 49 × 9 = 441,
    3/49 = 3 × 9/49 × 9 = 27/441
  3. Likewise, for the 2nd fraction, since 63 × 7 = 441,
    42/63 = 42 × 7/63 × 7 = 294/441
  4. Add the two like fractions:
    27/441 + 294/441 = 27 + 294/441 = 321/441
  5. 321/441 simplified gives 107/147
  6. So, 3/49 + 42/63 = 107/147

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