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Add 40/75 and 6/45

40/75 + 6/45 is 2/3.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 45 is 225

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 75 × 3 = 225,
    40/75 = 40 × 3/75 × 3 = 120/225
  3. Likewise, for the 2nd fraction, since 45 × 5 = 225,
    6/45 = 6 × 5/45 × 5 = 30/225
  4. Add the two like fractions:
    120/225 + 30/225 = 120 + 30/225 = 150/225
  5. 150/225 simplified gives 2/3
  6. So, 40/75 + 6/45 = 2/3

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