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Add 40/56 and 30/42

40/56 + 30/42 is 10/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 56 and 42 is 168

    Next, find the equivalent fraction of both fractional numbers with denominator 168
  2. For the 1st fraction, since 56 × 3 = 168,
    40/56 = 40 × 3/56 × 3 = 120/168
  3. Likewise, for the 2nd fraction, since 42 × 4 = 168,
    30/42 = 30 × 4/42 × 4 = 120/168
  4. Add the two like fractions:
    120/168 + 120/168 = 120 + 120/168 = 240/168
  5. 240/168 simplified gives 10/7
  6. So, 40/56 + 30/42 = 10/7
    In mixed form: 13/7

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