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Add 10/75 and 40/45

10/75 + 40/45 is 46/45.

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,
    10/75 = 10 × 3/75 × 3 = 30/225
  3. Likewise, for the 2nd fraction, since 45 × 5 = 225,
    40/45 = 40 × 5/45 × 5 = 200/225
  4. Add the two like fractions:
    30/225 + 200/225 = 30 + 200/225 = 230/225
  5. 230/225 simplified gives 46/45
  6. So, 10/75 + 40/45 = 46/45
    In mixed form: 11/45

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