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Add 4/10 and 8/21

4/10 + 8/21 is 82/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 21 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 10 × 21 = 210,
    4/10 = 4 × 21/10 × 21 = 84/210
  3. Likewise, for the 2nd fraction, since 21 × 10 = 210,
    8/21 = 8 × 10/21 × 10 = 80/210
  4. Add the two like fractions:
    84/210 + 80/210 = 84 + 80/210 = 164/210
  5. 164/210 simplified gives 82/105
  6. So, 4/10 + 8/21 = 82/105

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