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Add 21/45 and 4/9

21/45 + 4/9 is 41/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 9 is 45
  2. For the 1st fraction, since 45 × 1 = 45,
    21/45 = 21 × 1/45 × 1 = 21/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    4/9 = 4 × 5/9 × 5 = 20/45
  4. Add the two fractions:
    21/45 + 20/45 = 21 + 20/45 = 41/45
  5. So, 21/45 + 4/9 = 41/45

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