Add 10/12 and 24/27
10/12 + 24/27 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
10/12 = 10 × 9/12 × 9 = 90/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
24/27 = 24 × 4/27 × 4 = 96/108 - Add the two like fractions:
90/108 + 96/108 = 90 + 96/108 = 186/108 - 186/108 simplified gives 31/18
- So, 10/12 + 24/27 = 31/18
In mixed form: 113/18
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