Compare 10/40 and 32/30
1st number: 10/40, 2nd number: 1 2/30
10/40 is smaller than 32/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 30 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
10/40 = 10 × 3/40 × 3 = 30/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
32/30 = 32 × 4/30 × 4 = 128/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/120 < 128/120 or 10/40 < 32/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40 and 32/30 10/40 and 64/30 10/80 and 32/30 10/40 and 32/60 30/40 and 32/30 10/40 and 96/30 10/40 and 32/90 50/40 and 32/30 70/40 and 32/30