Compare 1/15 and 45/16
1st number: 1/15, 2nd number: 2 13/16
1/15 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
1/15 = 1 × 16/15 × 16 = 16/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
45/16 = 45 × 15/16 × 15 = 675/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/240 < 675/240 or 1/15 < 45/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/15 and 45/16 1/15 and 90/16 1/30 and 45/16 1/15 and 45/32 3/15 and 45/16 1/45 and 45/16 1/15 and 45/48 5/15 and 45/16 1/75 and 45/16 1/15 and 45/80 7/15 and 45/16