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Add 10/75 and 42/54

10/75 + 42/54 is 41/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 54 is 1350
  2. For the 1st fraction, since 75 × 18 = 1350,
    10/75 = 10 × 18/75 × 18 = 180/1350
  3. Likewise, for the 2nd fraction, since 54 × 25 = 1350,
    42/54 = 42 × 25/54 × 25 = 1050/1350
  4. Add the two fractions:
    180/1350 + 1050/1350 = 180 + 1050/1350 = 1230/1350
  5. 1230/1350 simplified gives 41/45
  6. So, 10/75 + 42/54 = 41/45

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