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Add 30/75 and 10/14

30/75 + 10/14 is 39/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 14 is 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    30/75 = 30 × 14/75 × 14 = 420/1050
  3. Likewise, for the 2nd fraction, since 14 × 75 = 1050,
    10/14 = 10 × 75/14 × 75 = 750/1050
  4. Add the two fractions:
    420/1050 + 750/1050 = 420 + 750/1050 = 1170/1050
  5. 1170/1050 simplified gives 39/35
  6. So, 30/75 + 10/14 = 39/35
    In mixed form: 14/35

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