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Add 9/75 and 40/42

9/75 + 40/42 is 563/525.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    9/75 = 9 × 14/75 × 14 = 126/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    40/42 = 40 × 25/42 × 25 = 1000/1050
  4. Add the two like fractions:
    126/1050 + 1000/1050 = 126 + 1000/1050 = 1126/1050
  5. 1126/1050 simplified gives 563/525
  6. So, 9/75 + 40/42 = 563/525
    In mixed form: 138/525

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