Add 21/30 and 21/54
21/30 + 21/54 is 49/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
21/30 = 21 × 9/30 × 9 = 189/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
21/54 = 21 × 5/54 × 5 = 105/270 - Add the two like fractions:
189/270 + 105/270 = 189 + 105/270 = 294/270 - 294/270 simplified gives 49/45
- So, 21/30 + 21/54 = 49/45
In mixed form: 14/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+21/54 21/30+42/54 21/60+21/54 63/30+21/54 21/30+63/54 21/90+21/54