Compare 10/27 and 21/30
10/27 is smaller than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
10/27 = 10 × 10/27 × 10 = 100/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
21/30 = 21 × 9/30 × 9 = 189/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/270 < 189/270 or 10/27 < 21/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/27 and 21/30 10/27 and 42/30 10/54 and 21/30 10/27 and 21/60 30/27 and 21/30 10/27 and 63/30 10/81 and 21/30 10/27 and 21/90 50/27 and 21/30 70/27 and 21/30