Add 16/27 and 7/14
16/27 + 7/14 is 59/54.
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,
16/27 = 16 × 14/27 × 14 = 224/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
7/14 = 7 × 27/14 × 27 = 189/378 - Add the two like fractions:
224/378 + 189/378 = 224 + 189/378 = 413/378 - 413/378 simplified gives 59/54
- So, 16/27 + 7/14 = 59/54
In mixed form: 15/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/27+7/14 16/54+7/14 16/27+7/28 48/27+7/14 16/27+21/14 16/81+7/14 16/27+7/42 80/27+7/14 16/27+35/14 16/27+7/70 16/27+49/14 16/27+7/98