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Add 21/2 and 54/75

1st number: 10 1/2, 2nd number: 54/75

21/2 + 54/75 is 561/50.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 2 × 75 = 150,
    21/2 = 21 × 75/2 × 75 = 1575/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    54/75 = 54 × 2/75 × 2 = 108/150
  4. Add the two like fractions:
    1575/150 + 108/150 = 1575 + 108/150 = 1683/150
  5. 1683/150 simplified gives 561/50
  6. So, 21/2 + 54/75 = 561/50
    In mixed form: 1111/50

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