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Add 36/84 and 18/27

36/84 + 18/27 is 23/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 27 is 756

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 84 × 9 = 756,
    36/84 = 36 × 9/84 × 9 = 324/756
  3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
    18/27 = 18 × 28/27 × 28 = 504/756
  4. Add the two like fractions:
    324/756 + 504/756 = 324 + 504/756 = 828/756
  5. 828/756 simplified gives 23/21
  6. So, 36/84 + 18/27 = 23/21
    In mixed form: 12/21

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