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Add 10/14 and 30/75

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

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 14 × 75 = 1050,
    10/14 = 10 × 75/14 × 75 = 750/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    30/75 = 30 × 14/75 × 14 = 420/1050
  4. Add the two like fractions:
    750/1050 + 420/1050 = 750 + 420/1050 = 1170/1050
  5. 1170/1050 simplified gives 39/35
  6. So, 10/14 + 30/75 = 39/35
    In mixed form: 14/35

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