Add 8/12 and 4/9
8/12 + 4/9 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
8/12 = 8 × 3/12 × 3 = 24/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
4/9 = 4 × 4/9 × 4 = 16/36 - Add the two like fractions:
24/36 + 16/36 = 24 + 16/36 = 40/36 - 40/36 simplified gives 10/9
- So, 8/12 + 4/9 = 10/9
In mixed form: 11/9
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