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Add 75/12 and 27/40

1st number: 6 3/12, 2nd number: 27/40

75/12 + 27/40 is 277/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 40 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 12 × 10 = 120,
    75/12 = 75 × 10/12 × 10 = 750/120
  3. Likewise, for the 2nd fraction, since 40 × 3 = 120,
    27/40 = 27 × 3/40 × 3 = 81/120
  4. Add the two like fractions:
    750/120 + 81/120 = 750 + 81/120 = 831/120
  5. 831/120 simplified gives 277/40
  6. So, 75/12 + 27/40 = 277/40
    In mixed form: 637/40

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