Add 20/54 and 14/21
20/54 + 14/21 is 28/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
20/54 = 20 × 7/54 × 7 = 140/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
14/21 = 14 × 18/21 × 18 = 252/378 - Add the two like fractions:
140/378 + 252/378 = 140 + 252/378 = 392/378 - 392/378 simplified gives 28/27
- So, 20/54 + 14/21 = 28/27
In mixed form: 11/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/54+14/21 20/54+28/21 20/54+14/42 60/54+14/21 20/54+42/21 20/54+14/63 20/54+70/21 20/54+98/21