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Add 45/60 and 8/27

45/60 + 8/27 is 113/108.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 60 and 27 is 540

    Next, find the equivalent fraction of both fractional numbers with denominator 540
  2. For the 1st fraction, since 60 × 9 = 540,
    45/60 = 45 × 9/60 × 9 = 405/540
  3. Likewise, for the 2nd fraction, since 27 × 20 = 540,
    8/27 = 8 × 20/27 × 20 = 160/540
  4. Add the two like fractions:
    405/540 + 160/540 = 405 + 160/540 = 565/540
  5. 565/540 simplified gives 113/108
  6. So, 45/60 + 8/27 = 113/108
    In mixed form: 15/108

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