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Add 75/40 and 30/42

1st number: 1 35/40, 2nd number: 30/42

75/40 + 30/42 is 145/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 42 is 840
  2. For the 1st fraction, since 40 × 21 = 840,
    75/40 = 75 × 21/40 × 21 = 1575/840
  3. Likewise, for the 2nd fraction, since 42 × 20 = 840,
    30/42 = 30 × 20/42 × 20 = 600/840
  4. Add the two fractions:
    1575/840 + 600/840 = 1575 + 600/840 = 2175/840
  5. 2175/840 simplified gives 145/56
  6. So, 75/40 + 30/42 = 145/56
    In mixed form: 233/56

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