Compare 30/98 and 10/30
30/98 is smaller than 10/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 98 × 15 = 1470,
30/98 = 30 × 15/98 × 15 = 450/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
10/30 = 10 × 49/30 × 49 = 490/1470 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/1470 < 490/1470 or 30/98 < 10/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/98 and 10/30 30/98 and 20/30 30/98 and 10/60 90/98 and 10/30 30/98 and 10/90 30/98 and 50/30 30/98 and 70/30