Add 4/9 and 21/27
4/9 + 21/27 is 11/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
4/9 = 4 × 3/9 × 3 = 12/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Add the two like fractions:
12/27 + 21/27 = 12 + 21/27 = 33/27 - 33/27 simplified gives 11/9
- So, 4/9 + 21/27 = 11/9
In mixed form: 12/9
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