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Add 40/45 and 27/28

40/45 + 27/28 is 467/252.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    40/45 = 40 × 28/45 × 28 = 1120/1260
  3. Likewise, for the 2nd fraction, since 28 × 45 = 1260,
    27/28 = 27 × 45/28 × 45 = 1215/1260
  4. Add the two like fractions:
    1120/1260 + 1215/1260 = 1120 + 1215/1260 = 2335/1260
  5. 2335/1260 simplified gives 467/252
  6. So, 40/45 + 27/28 = 467/252
    In mixed form: 1215/252

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