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Add 40/42 and 45/54

40/42 + 45/54 is 25/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 54 is 378
  2. For the 1st fraction, since 42 × 9 = 378,
    40/42 = 40 × 9/42 × 9 = 360/378
  3. Likewise, for the 2nd fraction, since 54 × 7 = 378,
    45/54 = 45 × 7/54 × 7 = 315/378
  4. Add the two fractions:
    360/378 + 315/378 = 360 + 315/378 = 675/378
  5. 675/378 simplified gives 25/14
  6. So, 40/42 + 45/54 = 25/14
    In mixed form: 111/14

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