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Add 5/8 and 30/42

5/8 + 30/42 is 75/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 42 is 168
  2. For the 1st fraction, since 8 × 21 = 168,
    5/8 = 5 × 21/8 × 21 = 105/168
  3. Likewise, for the 2nd fraction, since 42 × 4 = 168,
    30/42 = 30 × 4/42 × 4 = 120/168
  4. Add the two fractions:
    105/168 + 120/168 = 105 + 120/168 = 225/168
  5. 225/168 simplified gives 75/56
  6. So, 5/8 + 30/42 = 75/56
    In mixed form: 119/56

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