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Add 35/49 and 40/63

35/49 + 40/63 is 85/63.

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,
    35/49 = 35 × 9/49 × 9 = 315/441
  3. Likewise, for the 2nd fraction, since 63 × 7 = 441,
    40/63 = 40 × 7/63 × 7 = 280/441
  4. Add the two like fractions:
    315/441 + 280/441 = 315 + 280/441 = 595/441
  5. 595/441 simplified gives 85/63
  6. So, 35/49 + 40/63 = 85/63
    In mixed form: 122/63

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