Add 40/9 and 12/27
1st number: 4 4/9, 2nd number: 12/27
40/9 + 12/27 is 44/9.
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,
40/9 = 40 × 3/9 × 3 = 120/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
12/27 = 12 × 1/27 × 1 = 12/27 - Add the two like fractions:
120/27 + 12/27 = 120 + 12/27 = 132/27 - 132/27 simplified gives 44/9
- So, 40/9 + 12/27 = 44/9
In mixed form: 48/9
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