Compare 1/21 and 32/15
1st number: 1/21, 2nd number: 2 2/15
1/21 is smaller than 32/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 15 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
1/21 = 1 × 5/21 × 5 = 5/105 - Likewise, for the 2nd fraction, since 15 × 7 = 105,
32/15 = 32 × 7/15 × 7 = 224/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/105 < 224/105 or 1/21 < 32/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/21 and 32/15 1/21 and 64/15 1/42 and 32/15 1/21 and 32/30 3/21 and 32/15 1/21 and 96/15 1/63 and 32/15 1/21 and 32/45 5/21 and 32/15 1/21 and 32/75 7/21 and 32/15