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Add 12/28 and 40/45

12/28 + 40/45 is 83/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 45 is 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    12/28 = 12 × 45/28 × 45 = 540/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    40/45 = 40 × 28/45 × 28 = 1120/1260
  4. Add the two fractions:
    540/1260 + 1120/1260 = 540 + 1120/1260 = 1660/1260
  5. 1660/1260 simplified gives 83/63
  6. So, 12/28 + 40/45 = 83/63
    In mixed form: 120/63

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