Add 5/27 and 35/84
5/27 + 35/84 is 65/108.
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,
5/27 = 5 × 28/27 × 28 = 140/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
35/84 = 35 × 9/84 × 9 = 315/756 - Add the two like fractions:
140/756 + 315/756 = 140 + 315/756 = 455/756 - 455/756 simplified gives 65/108
- So, 5/27 + 35/84 = 65/108
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