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Add 21/2 and 14/35

1st number: 10 1/2, 2nd number: 14/35

21/2 + 14/35 is 109/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 35 is 70

    Next, find the equivalent fraction of both fractional numbers with denominator 70
  2. For the 1st fraction, since 2 × 35 = 70,
    21/2 = 21 × 35/2 × 35 = 735/70
  3. Likewise, for the 2nd fraction, since 35 × 2 = 70,
    14/35 = 14 × 2/35 × 2 = 28/70
  4. Add the two like fractions:
    735/70 + 28/70 = 735 + 28/70 = 763/70
  5. 763/70 simplified gives 109/10
  6. So, 21/2 + 14/35 = 109/10
    In mixed form: 109/10

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