Add 4/9 and 12/16
4/9 + 12/16 is 43/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
4/9 = 4 × 16/9 × 16 = 64/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
12/16 = 12 × 9/16 × 9 = 108/144 - Add the two like fractions:
64/144 + 108/144 = 64 + 108/144 = 172/144 - 172/144 simplified gives 43/36
- So, 4/9 + 12/16 = 43/36
In mixed form: 17/36
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