Compare 10/30 and 35/36
10/30 is smaller than 35/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 30 × 6 = 180,
10/30 = 10 × 6/30 × 6 = 60/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
35/36 = 35 × 5/36 × 5 = 175/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/180 < 175/180 or 10/30 < 35/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30 and 35/36 10/30 and 70/36 10/60 and 35/36 10/30 and 35/72 10/90 and 35/36 50/30 and 35/36 70/30 and 35/36