Compare 2/9 and 18/30
2/9 is smaller than 18/30
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,
2/9 = 2 × 10/9 × 10 = 20/90 - 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
- 20/90 < 54/90 or 2/9 < 18/30
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