Compare 4/40 and 7/30
4/40 is smaller than 7/30
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,
4/40 = 4 × 3/40 × 3 = 12/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
7/30 = 7 × 4/30 × 4 = 28/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 12/120 < 28/120 or 4/40 < 7/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/40 and 7/30 4/40 and 14/30 4/80 and 7/30 4/40 and 7/60 12/40 and 7/30 4/40 and 21/30 4/40 and 7/90 20/40 and 7/30 4/40 and 35/30 28/40 and 7/30 4/40 and 49/30