Compare 20/45 and 18/30
20/45 is smaller than 18/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
20/45 = 20 × 2/45 × 2 = 40/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
18/30 = 18 × 3/30 × 3 = 54/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/90 < 54/90 or 20/45 < 18/30
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