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Add 7/49 and 42/63

7/49 + 42/63 is 17/21.

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,
    7/49 = 7 × 9/49 × 9 = 63/441
  3. Likewise, for the 2nd fraction, since 63 × 7 = 441,
    42/63 = 42 × 7/63 × 7 = 294/441
  4. Add the two like fractions:
    63/441 + 294/441 = 63 + 294/441 = 357/441
  5. 357/441 simplified gives 17/21
  6. So, 7/49 + 42/63 = 17/21

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