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Add 21/4 and 36/42

1st number: 5 1/4, 2nd number: 36/42

21/4 + 36/42 is 171/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 42 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 4 × 21 = 84,
    21/4 = 21 × 21/4 × 21 = 441/84
  3. Likewise, for the 2nd fraction, since 42 × 2 = 84,
    36/42 = 36 × 2/42 × 2 = 72/84
  4. Add the two like fractions:
    441/84 + 72/84 = 441 + 72/84 = 513/84
  5. 513/84 simplified gives 171/28
  6. So, 21/4 + 36/42 = 171/28
    In mixed form: 63/28

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