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Add 3/28 and 40/45

3/28 + 40/45 is 251/252.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    3/28 = 3 × 45/28 × 45 = 135/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    40/45 = 40 × 28/45 × 28 = 1120/1260
  4. Add the two like fractions:
    135/1260 + 1120/1260 = 135 + 1120/1260 = 1255/1260
  5. 1255/1260 simplified gives 251/252
  6. So, 3/28 + 40/45 = 251/252

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