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Add 10/21 and 16/30

10/21 + 16/30 is 106/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 30 is 210
  2. For the 1st fraction, since 21 × 10 = 210,
    10/21 = 10 × 10/21 × 10 = 100/210
  3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
    16/30 = 16 × 7/30 × 7 = 112/210
  4. Add the two fractions:
    100/210 + 112/210 = 100 + 112/210 = 212/210
  5. 212/210 simplified gives 106/105
  6. So, 10/21 + 16/30 = 106/105
    In mixed form: 11/105

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