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Add 30/84 and 54/80

30/84 + 54/80 is 289/280.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1680
  2. For the 1st fraction, since 84 × 20 = 1680,
    30/84 = 30 × 20/84 × 20 = 600/1680
  3. Likewise, for the 2nd fraction, since 80 × 21 = 1680,
    54/80 = 54 × 21/80 × 21 = 1134/1680
  4. Add the two like fractions:
    600/1680 + 1134/1680 = 600 + 1134/1680 = 1734/1680
  5. 1734/1680 simplified gives 289/280
  6. So, 30/84 + 54/80 = 289/280
    In mixed form: 19/280

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