Add 14/27 and 7/14
14/27 + 7/14 is 55/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
14/27 = 14 × 14/27 × 14 = 196/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
7/14 = 7 × 27/14 × 27 = 189/378 - Add the two like fractions:
196/378 + 189/378 = 196 + 189/378 = 385/378 - 385/378 simplified gives 55/54
- So, 14/27 + 7/14 = 55/54
In mixed form: 11/54
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