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Add 10/30 and 9/14

10/30 + 9/14 is 41/42.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    10/30 = 10 × 7/30 × 7 = 70/210
  3. Likewise, for the 2nd fraction, since 14 × 15 = 210,
    9/14 = 9 × 15/14 × 15 = 135/210
  4. Add the two like fractions:
    70/210 + 135/210 = 70 + 135/210 = 205/210
  5. 205/210 simplified gives 41/42
  6. So, 10/30 + 9/14 = 41/42

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