Add 1/3 and 21/27
1/3 + 21/27 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
1/3 = 1 × 9/3 × 9 = 9/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Add the two like fractions:
9/27 + 21/27 = 9 + 21/27 = 30/27 - 30/27 simplified gives 10/9
- So, 1/3 + 21/27 = 10/9
In mixed form: 11/9
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