Compare 2/30 and 8/9
2/30 is smaller than 8/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
2/30 = 2 × 3/30 × 3 = 6/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
8/9 = 8 × 10/9 × 10 = 80/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/90 < 80/90 or 2/30 < 8/9
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