Compare 8/30 and 21/32
8/30 is smaller than 21/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
8/30 = 8 × 16/30 × 16 = 128/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
21/32 = 21 × 15/32 × 15 = 315/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/480 < 315/480 or 8/30 < 21/32
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/30 and 21/32 8/30 and 42/32 8/60 and 21/32 8/30 and 21/64 24/30 and 21/32 8/30 and 63/32 8/90 and 21/32 8/30 and 21/96 40/30 and 21/32 56/30 and 21/32