Compare 18/21 and 16/40
18/21 is greater than 16/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
18/21 = 18 × 40/21 × 40 = 720/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
16/40 = 16 × 21/40 × 21 = 336/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 720/840 > 336/840 or 18/21 > 16/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/21 and 16/40 18/21 and 32/40 18/42 and 16/40 18/21 and 16/80 54/21 and 16/40 18/21 and 48/40 18/63 and 16/40 90/21 and 16/40 18/21 and 80/40