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Add 28/5 and 40/84

1st number: 5 3/5, 2nd number: 40/84

28/5 + 40/84 is 638/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 5 × 84 = 420,
    28/5 = 28 × 84/5 × 84 = 2352/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    40/84 = 40 × 5/84 × 5 = 200/420
  4. Add the two like fractions:
    2352/420 + 200/420 = 2352 + 200/420 = 2552/420
  5. 2552/420 simplified gives 638/105
  6. So, 28/5 + 40/84 = 638/105
    In mixed form: 68/105

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