Add 21/84 and 1/27
21/84 + 1/27 is 31/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
21/84 = 21 × 9/84 × 9 = 189/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
1/27 = 1 × 28/27 × 28 = 28/756 - Add the two like fractions:
189/756 + 28/756 = 189 + 28/756 = 217/756 - 217/756 simplified gives 31/108
- So, 21/84 + 1/27 = 31/108
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