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Add 10/21 and 40/80

10/21 + 40/80 is 41/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 80 is 1680

    Next, find the equivalent fraction of both fractional numbers with denominator 1680
  2. For the 1st fraction, since 21 × 80 = 1680,
    10/21 = 10 × 80/21 × 80 = 800/1680
  3. Likewise, for the 2nd fraction, since 80 × 21 = 1680,
    40/80 = 40 × 21/80 × 21 = 840/1680
  4. Add the two like fractions:
    800/1680 + 840/1680 = 800 + 840/1680 = 1640/1680
  5. 1640/1680 simplified gives 41/42
  6. So, 10/21 + 40/80 = 41/42

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