Add 21/28 and 1/27
21/28 + 1/27 is 85/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 28 × 27 = 756,
21/28 = 21 × 27/28 × 27 = 567/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
1/27 = 1 × 28/27 × 28 = 28/756 - Add the two like fractions:
567/756 + 28/756 = 567 + 28/756 = 595/756 - 595/756 simplified gives 85/108
- So, 21/28 + 1/27 = 85/108
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