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Add 2/5 and 21/28

2/5 + 21/28 is 23/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 28 is 140

    Next, find the equivalent fraction of both fractional numbers with denominator 140
  2. For the 1st fraction, since 5 × 28 = 140,
    2/5 = 2 × 28/5 × 28 = 56/140
  3. Likewise, for the 2nd fraction, since 28 × 5 = 140,
    21/28 = 21 × 5/28 × 5 = 105/140
  4. Add the two like fractions:
    56/140 + 105/140 = 56 + 105/140 = 161/140
  5. 161/140 simplified gives 23/20
  6. So, 2/5 + 21/28 = 23/20
    In mixed form: 13/20

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