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Add 36/84 and 8/15

36/84 + 8/15 is 101/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 15 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 84 × 5 = 420,
    36/84 = 36 × 5/84 × 5 = 180/420
  3. Likewise, for the 2nd fraction, since 15 × 28 = 420,
    8/15 = 8 × 28/15 × 28 = 224/420
  4. Add the two like fractions:
    180/420 + 224/420 = 180 + 224/420 = 404/420
  5. 404/420 simplified gives 101/105
  6. So, 36/84 + 8/15 = 101/105

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