Compare 18/9 and 40/30
1st number: 2 0/9, 2nd number: 1 10/30
18/9 is greater than 40/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
18/9 = 18 × 10/9 × 10 = 180/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
40/30 = 40 × 3/30 × 3 = 120/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/90 > 120/90 or 18/9 > 40/30
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