Compare 1/7 and 45/16
1st number: 1/7, 2nd number: 2 13/16
1/7 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 7 × 16 = 112,
1/7 = 1 × 16/7 × 16 = 16/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
45/16 = 45 × 7/16 × 7 = 315/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/112 < 315/112 or 1/7 < 45/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/7 and 45/16 1/7 and 90/16 1/14 and 45/16 1/7 and 45/32 3/7 and 45/16 1/21 and 45/16 1/7 and 45/48 5/7 and 45/16 1/35 and 45/16 1/7 and 45/80 1/49 and 45/16