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Add 8/15 and 35/84

8/15 + 35/84 is 19/20.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 15 × 28 = 420,
    8/15 = 8 × 28/15 × 28 = 224/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    35/84 = 35 × 5/84 × 5 = 175/420
  4. Add the two like fractions:
    224/420 + 175/420 = 224 + 175/420 = 399/420
  5. 399/420 simplified gives 19/20
  6. So, 8/15 + 35/84 = 19/20

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