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Add 36/42 and 75/84

36/42 + 75/84 is 7/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 84 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 42 × 2 = 84,
    36/42 = 36 × 2/42 × 2 = 72/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    75/84 = 75 × 1/84 × 1 = 75/84
  4. Add the two like fractions:
    72/84 + 75/84 = 72 + 75/84 = 147/84
  5. 147/84 simplified gives 7/4
  6. So, 36/42 + 75/84 = 7/4
    In mixed form: 13/4

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