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Add 75/42 and 21/80

1st number: 1 33/42, 2nd number: 21/80

75/42 + 21/80 is 1147/560.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1680
  2. For the 1st fraction, since 42 × 40 = 1680,
    75/42 = 75 × 40/42 × 40 = 3000/1680
  3. Likewise, for the 2nd fraction, since 80 × 21 = 1680,
    21/80 = 21 × 21/80 × 21 = 441/1680
  4. Add the two like fractions:
    3000/1680 + 441/1680 = 3000 + 441/1680 = 3441/1680
  5. 3441/1680 simplified gives 1147/560
  6. So, 75/42 + 21/80 = 1147/560
    In mixed form: 227/560

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