Add 35/54 and 7/14
35/54 + 7/14 is 31/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
35/54 = 35 × 7/54 × 7 = 245/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
7/14 = 7 × 27/14 × 27 = 189/378 - Add the two like fractions:
245/378 + 189/378 = 245 + 189/378 = 434/378 - 434/378 simplified gives 31/27
- So, 35/54 + 7/14 = 31/27
In mixed form: 14/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/54+7/14 35/54+7/28 35/54+21/14 35/54+7/42 35/54+35/14 35/54+7/70 35/54+49/14 35/54+7/98