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Add 7/14 and 16/30

7/14 + 16/30 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 30 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 14 × 15 = 210,
    7/14 = 7 × 15/14 × 15 = 105/210
  3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
    16/30 = 16 × 7/30 × 7 = 112/210
  4. Add the two like fractions:
    105/210 + 112/210 = 105 + 112/210 = 217/210
  5. 217/210 simplified gives 31/30
  6. So, 7/14 + 16/30 = 31/30
    In mixed form: 11/30

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