Compare 10/40 and 21/36
10/40 is smaller than 21/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 36 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
10/40 = 10 × 9/40 × 9 = 90/360 - Likewise, for the 2nd fraction, since 36 × 10 = 360,
21/36 = 21 × 10/36 × 10 = 210/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/360 < 210/360 or 10/40 < 21/36
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 21/36 10/40 and 42/36 10/80 and 21/36 10/40 and 21/72 30/40 and 21/36 10/40 and 63/36 50/40 and 21/36 70/40 and 21/36