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Add 30/84 and 75/35

1st number: 30/84, 2nd number: 2 5/35

30/84 + 75/35 is 5/2.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 35 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 84 × 5 = 420,
    30/84 = 30 × 5/84 × 5 = 150/420
  3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
    75/35 = 75 × 12/35 × 12 = 900/420
  4. Add the two like fractions:
    150/420 + 900/420 = 150 + 900/420 = 1050/420
  5. 1050/420 simplified gives 5/2
  6. So, 30/84 + 75/35 = 5/2
    In mixed form: 21/2

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