Add 10/12 and 2/9
10/12 + 2/9 is 19/18.
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,
10/12 = 10 × 3/12 × 3 = 30/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
2/9 = 2 × 4/9 × 4 = 8/36 - Add the two like fractions:
30/36 + 8/36 = 30 + 8/36 = 38/36 - 38/36 simplified gives 19/18
- So, 10/12 + 2/9 = 19/18
In mixed form: 11/18
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