Add 1/4 and 21/27
1/4 + 21/27 is 37/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
1/4 = 1 × 27/4 × 27 = 27/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
21/27 = 21 × 4/27 × 4 = 84/108 - Add the two like fractions:
27/108 + 84/108 = 27 + 84/108 = 111/108 - 111/108 simplified gives 37/36
- So, 1/4 + 21/27 = 37/36
In mixed form: 11/36
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