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Add 3/40 and 45/56

3/40 + 45/56 is 123/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 56 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    3/40 = 3 × 7/40 × 7 = 21/280
  3. Likewise, for the 2nd fraction, since 56 × 5 = 280,
    45/56 = 45 × 5/56 × 5 = 225/280
  4. Add the two like fractions:
    21/280 + 225/280 = 21 + 225/280 = 246/280
  5. 246/280 simplified gives 123/140
  6. So, 3/40 + 45/56 = 123/140

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