Compare 10/45 and 30/32
10/45 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 45 × 32 = 1440,
10/45 = 10 × 32/45 × 32 = 320/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
30/32 = 30 × 45/32 × 45 = 1350/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/1440 < 1350/1440 or 10/45 < 30/32
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45 and 30/32 10/45 and 60/32 10/90 and 30/32 10/45 and 30/64 30/45 and 30/32 10/45 and 90/32 10/45 and 30/96 50/45 and 30/32 70/45 and 30/32