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Add 40/42 and 10/75

40/42 + 10/75 is 38/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    40/42 = 40 × 25/42 × 25 = 1000/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    10/75 = 10 × 14/75 × 14 = 140/1050
  4. Add the two like fractions:
    1000/1050 + 140/1050 = 1000 + 140/1050 = 1140/1050
  5. 1140/1050 simplified gives 38/35
  6. So, 40/42 + 10/75 = 38/35
    In mixed form: 13/35

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