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Add 42/80 and 21/84

42/80 + 21/84 is 31/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 80 and 84 is 1680

    Next, find the equivalent fraction of both fractional numbers with denominator 1680
  2. For the 1st fraction, since 80 × 21 = 1680,
    42/80 = 42 × 21/80 × 21 = 882/1680
  3. Likewise, for the 2nd fraction, since 84 × 20 = 1680,
    21/84 = 21 × 20/84 × 20 = 420/1680
  4. Add the two like fractions:
    882/1680 + 420/1680 = 882 + 420/1680 = 1302/1680
  5. 1302/1680 simplified gives 31/40
  6. So, 42/80 + 21/84 = 31/40

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