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Add 2/5 and 21/45

2/5 + 21/45 is 13/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 45 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 5 × 9 = 45,
    2/5 = 2 × 9/5 × 9 = 18/45
  3. Likewise, for the 2nd fraction, since 45 × 1 = 45,
    21/45 = 21 × 1/45 × 1 = 21/45
  4. Add the two like fractions:
    18/45 + 21/45 = 18 + 21/45 = 39/45
  5. 39/45 simplified gives 13/15
  6. So, 2/5 + 21/45 = 13/15

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