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Add 36/42 and 27/35

36/42 + 27/35 is 57/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 35 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    36/42 = 36 × 5/42 × 5 = 180/210
  3. Likewise, for the 2nd fraction, since 35 × 6 = 210,
    27/35 = 27 × 6/35 × 6 = 162/210
  4. Add the two like fractions:
    180/210 + 162/210 = 180 + 162/210 = 342/210
  5. 342/210 simplified gives 57/35
  6. So, 36/42 + 27/35 = 57/35
    In mixed form: 122/35

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