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Add 40/75 and 21/42

40/75 + 21/42 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 42 is 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    40/75 = 40 × 14/75 × 14 = 560/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    21/42 = 21 × 25/42 × 25 = 525/1050
  4. Add the two fractions:
    560/1050 + 525/1050 = 560 + 525/1050 = 1085/1050
  5. 1085/1050 simplified gives 31/30
  6. So, 40/75 + 21/42 = 31/30
    In mixed form: 11/30

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