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Add 40/75 and 42/45

40/75 + 42/45 is 22/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 45 is 225

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 75 × 3 = 225,
    40/75 = 40 × 3/75 × 3 = 120/225
  3. Likewise, for the 2nd fraction, since 45 × 5 = 225,
    42/45 = 42 × 5/45 × 5 = 210/225
  4. Add the two like fractions:
    120/225 + 210/225 = 120 + 210/225 = 330/225
  5. 330/225 simplified gives 22/15
  6. So, 40/75 + 42/45 = 22/15
    In mixed form: 17/15

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