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Add 2/5 and 21/84

2/5 + 21/84 is 13/20.

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,
    2/5 = 2 × 84/5 × 84 = 168/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    21/84 = 21 × 5/84 × 5 = 105/420
  4. Add the two like fractions:
    168/420 + 105/420 = 168 + 105/420 = 273/420
  5. 273/420 simplified gives 13/20
  6. So, 2/5 + 21/84 = 13/20

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