Compare 7/40 and 9/30
7/40 is smaller than 9/30
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,
7/40 = 7 × 3/40 × 3 = 21/120 - Likewise, for the 2nd fraction, since 30 × 4 = 120,
9/30 = 9 × 4/30 × 4 = 36/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/120 < 36/120 or 7/40 < 9/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/40 and 9/30 7/40 and 18/30 7/80 and 9/30 7/40 and 9/60 21/40 and 9/30 7/40 and 27/30 7/40 and 9/90 35/40 and 9/30 7/40 and 45/30 49/40 and 9/30 7/40 and 63/30