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Add 75/80 and 30/42

75/80 + 30/42 is 185/112.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 80 and 42 is 1680

    Next, find the equivalent fraction of both fractional numbers with denominator 1680
  2. For the 1st fraction, since 80 × 21 = 1680,
    75/80 = 75 × 21/80 × 21 = 1575/1680
  3. Likewise, for the 2nd fraction, since 42 × 40 = 1680,
    30/42 = 30 × 40/42 × 40 = 1200/1680
  4. Add the two like fractions:
    1575/1680 + 1200/1680 = 1575 + 1200/1680 = 2775/1680
  5. 2775/1680 simplified gives 185/112
  6. So, 75/80 + 30/42 = 185/112
    In mixed form: 173/112

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