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Add 75/84 and 42/56

75/84 + 42/56 is 23/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 56 is 168

    Next, find the equivalent fraction of both fractional numbers with denominator 168
  2. For the 1st fraction, since 84 × 2 = 168,
    75/84 = 75 × 2/84 × 2 = 150/168
  3. Likewise, for the 2nd fraction, since 56 × 3 = 168,
    42/56 = 42 × 3/56 × 3 = 126/168
  4. Add the two like fractions:
    150/168 + 126/168 = 150 + 126/168 = 276/168
  5. 276/168 simplified gives 23/14
  6. So, 75/84 + 42/56 = 23/14
    In mixed form: 19/14

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