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Add 7/2 and 21/24

1st number: 3 1/2, 2nd number: 21/24

7/2 + 21/24 is 35/8.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 24 is 24

    Next, find the equivalent fraction of both fractional numbers with denominator 24
  2. For the 1st fraction, since 2 × 12 = 24,
    7/2 = 7 × 12/2 × 12 = 84/24
  3. Likewise, for the 2nd fraction, since 24 × 1 = 24,
    21/24 = 21 × 1/24 × 1 = 21/24
  4. Add the two like fractions:
    84/24 + 21/24 = 84 + 21/24 = 105/24
  5. 105/24 simplified gives 35/8
  6. So, 7/2 + 21/24 = 35/8
    In mixed form: 43/8

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