Add 8/3 and 21/27
1st number: 2 2/3, 2nd number: 21/27
8/3 + 21/27 is 31/9.
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,
8/3 = 8 × 9/3 × 9 = 72/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Add the two like fractions:
72/27 + 21/27 = 72 + 21/27 = 93/27 - 93/27 simplified gives 31/9
- So, 8/3 + 21/27 = 31/9
In mixed form: 34/9
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