Compare 9/35 and 28/56
9/35 is smaller than 28/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
9/35 = 9 × 8/35 × 8 = 72/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
28/56 = 28 × 5/56 × 5 = 140/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/280 < 140/280 or 9/35 < 28/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/35 and 28/56 9/70 and 28/56 27/35 and 28/56 9/35 and 84/56 45/35 and 28/56 63/35 and 28/56