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Add 21/2 and 32/84

1st number: 10 1/2, 2nd number: 32/84

21/2 + 32/84 is 457/42.

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,
    32/84 = 32 × 1/84 × 1 = 32/84
  4. Add the two like fractions:
    882/84 + 32/84 = 882 + 32/84 = 914/84
  5. 914/84 simplified gives 457/42
  6. So, 21/2 + 32/84 = 457/42
    In mixed form: 1037/42

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