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Add 10/27 and 40/45

10/27 + 40/45 is 34/27.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 45 is 135
  2. For the 1st fraction, since 27 × 5 = 135,
    10/27 = 10 × 5/27 × 5 = 50/135
  3. Likewise, for the 2nd fraction, since 45 × 3 = 135,
    40/45 = 40 × 3/45 × 3 = 120/135
  4. Add the two fractions:
    50/135 + 120/135 = 50 + 120/135 = 170/135
  5. After reducing the fraction, the answer is 34/27
  6. In mixed form: 17/27

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