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Add 35/84 and 40/60

35/84 + 40/60 is 13/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 60 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 84 × 5 = 420,
    35/84 = 35 × 5/84 × 5 = 175/420
  3. Likewise, for the 2nd fraction, since 60 × 7 = 420,
    40/60 = 40 × 7/60 × 7 = 280/420
  4. Add the two like fractions:
    175/420 + 280/420 = 175 + 280/420 = 455/420
  5. 455/420 simplified gives 13/12
  6. So, 35/84 + 40/60 = 13/12
    In mixed form: 11/12

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