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Add 10/75 and 42/45

10/75 + 42/45 is 16/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 45 is 225
  2. For the 1st fraction, since 75 × 3 = 225,
    10/75 = 10 × 3/75 × 3 = 30/225
  3. Likewise, for the 2nd fraction, since 45 × 5 = 225,
    42/45 = 42 × 5/45 × 5 = 210/225
  4. Add the two fractions:
    30/225 + 210/225 = 30 + 210/225 = 240/225
  5. 240/225 simplified gives 16/15
  6. So, 10/75 + 42/45 = 16/15
    In mixed form: 11/15

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