Compare 1/40 and 10/45
1/40 is smaller than 10/45
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,
1/40 = 1 × 9/40 × 9 = 9/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
10/45 = 10 × 8/45 × 8 = 80/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/360 < 80/360 or 1/40 < 10/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/40 and 10/45 1/40 and 20/45 1/80 and 10/45 1/40 and 10/90 3/40 and 10/45 1/40 and 30/45 5/40 and 10/45 1/40 and 50/45 7/40 and 10/45 1/40 and 70/45