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Add 40/45 and 30/75

40/45 + 30/75 is 58/45.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 45 × 5 = 225,
    40/45 = 40 × 5/45 × 5 = 200/225
  3. Likewise, for the 2nd fraction, since 75 × 3 = 225,
    30/75 = 30 × 3/75 × 3 = 90/225
  4. Add the two like fractions:
    200/225 + 90/225 = 200 + 90/225 = 290/225
  5. 290/225 simplified gives 58/45
  6. So, 40/45 + 30/75 = 58/45
    In mixed form: 113/45

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