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Add 21/2 and 35/84

1st number: 10 1/2, 2nd number: 35/84

21/2 + 35/84 is 131/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 84 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 2 × 42 = 84,
    21/2 = 21 × 42/2 × 42 = 882/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    35/84 = 35 × 1/84 × 1 = 35/84
  4. Add the two like fractions:
    882/84 + 35/84 = 882 + 35/84 = 917/84
  5. 917/84 simplified gives 131/12
  6. So, 21/2 + 35/84 = 131/12
    In mixed form: 1011/12

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