Add 8/3 and 24/27
1st number: 2 2/3, 2nd number: 24/27
8/3 + 24/27 is 32/9.
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,
24/27 = 24 × 1/27 × 1 = 24/27 - Add the two like fractions:
72/27 + 24/27 = 72 + 24/27 = 96/27 - 96/27 simplified gives 32/9
- So, 8/3 + 24/27 = 32/9
In mixed form: 35/9
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