Compare 10/45 and 27/40
10/45 is smaller than 27/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 45 × 8 = 360,
10/45 = 10 × 8/45 × 8 = 80/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
27/40 = 27 × 9/40 × 9 = 243/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/360 < 243/360 or 10/45 < 27/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45 and 27/40 10/45 and 54/40 10/90 and 27/40 10/45 and 27/80 30/45 and 27/40 10/45 and 81/40 50/45 and 27/40 70/45 and 27/40