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Add 3/49 and 40/56

3/49 + 40/56 is 38/49.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 56 is 392

    Next, find the equivalent fraction of both fractional numbers with denominator 392
  2. For the 1st fraction, since 49 × 8 = 392,
    3/49 = 3 × 8/49 × 8 = 24/392
  3. Likewise, for the 2nd fraction, since 56 × 7 = 392,
    40/56 = 40 × 7/56 × 7 = 280/392
  4. Add the two like fractions:
    24/392 + 280/392 = 24 + 280/392 = 304/392
  5. 304/392 simplified gives 38/49
  6. So, 3/49 + 40/56 = 38/49

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