Add 16/27 and 35/84
16/27 + 35/84 is 109/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
16/27 = 16 × 28/27 × 28 = 448/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
35/84 = 35 × 9/84 × 9 = 315/756 - Add the two like fractions:
448/756 + 315/756 = 448 + 315/756 = 763/756 - 763/756 simplified gives 109/108
- So, 16/27 + 35/84 = 109/108
In mixed form: 11/108
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