Compare 2/3 and 32/40
2/3 is smaller than 32/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 3 × 40 = 120,
2/3 = 2 × 40/3 × 40 = 80/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
32/40 = 32 × 3/40 × 3 = 96/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/120 < 96/120 or 2/3 < 32/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/3 and 32/40 2/3 and 64/40 2/6 and 32/40 2/3 and 32/80 6/3 and 32/40 2/3 and 96/40 2/9 and 32/40 10/3 and 32/40 2/15 and 32/40 14/3 and 32/40 2/21 and 32/40