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Add 35/45 and 40/75

35/45 + 40/75 is 59/45.

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,
    35/45 = 35 × 5/45 × 5 = 175/225
  3. Likewise, for the 2nd fraction, since 75 × 3 = 225,
    40/75 = 40 × 3/75 × 3 = 120/225
  4. Add the two like fractions:
    175/225 + 120/225 = 175 + 120/225 = 295/225
  5. 295/225 simplified gives 59/45
  6. So, 35/45 + 40/75 = 59/45
    In mixed form: 114/45

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