Compare 40/56 and 21/30
40/56 is greater than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 30 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 56 × 15 = 840,
40/56 = 40 × 15/56 × 15 = 600/840 - Likewise, for the 2nd fraction, since 30 × 28 = 840,
21/30 = 21 × 28/30 × 28 = 588/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/840 > 588/840 or 40/56 > 21/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/56 and 21/30 40/56 and 42/30 40/56 and 21/60 40/56 and 63/30 40/56 and 21/90