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Add 40/75 and 27/28

40/75 + 27/28 is 629/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 28 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    40/75 = 40 × 28/75 × 28 = 1120/2100
  3. Likewise, for the 2nd fraction, since 28 × 75 = 2100,
    27/28 = 27 × 75/28 × 75 = 2025/2100
  4. Add the two like fractions:
    1120/2100 + 2025/2100 = 1120 + 2025/2100 = 3145/2100
  5. 3145/2100 simplified gives 629/420
  6. So, 40/75 + 27/28 = 629/420
    In mixed form: 1209/420

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