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Add 24/27 and 21/84

24/27 + 21/84 is 41/36.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 27 × 28 = 756,
    24/27 = 24 × 28/27 × 28 = 672/756
  3. Likewise, for the 2nd fraction, since 84 × 9 = 756,
    21/84 = 21 × 9/84 × 9 = 189/756
  4. Add the two like fractions:
    672/756 + 189/756 = 672 + 189/756 = 861/756
  5. 861/756 simplified gives 41/36
  6. So, 24/27 + 21/84 = 41/36
    In mixed form: 15/36

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