Compare 30/40 and 8/45
30/40 is greater than 8/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
8/45 = 8 × 8/45 × 8 = 64/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/360 > 64/360 or 30/40 > 8/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40 and 8/45 30/40 and 16/45 30/80 and 8/45 30/40 and 8/90 90/40 and 8/45 30/40 and 24/45 30/40 and 40/45 30/40 and 56/45