Add 10/12 and 4/9
10/12 + 4/9 is 23/18.
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,
4/9 = 4 × 4/9 × 4 = 16/36 - Add the two like fractions:
30/36 + 16/36 = 30 + 16/36 = 46/36 - 46/36 simplified gives 23/18
- So, 10/12 + 4/9 = 23/18
In mixed form: 15/18
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