Compare 9/30 and 72/81
9/30 is smaller than 72/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 81 is 810
Next, find the equivalent fraction of both fractional numbers with denominator 810 - For the 1st fraction, since 30 × 27 = 810,
9/30 = 9 × 27/30 × 27 = 243/810 - Likewise, for the 2nd fraction, since 81 × 10 = 810,
72/81 = 72 × 10/81 × 10 = 720/810 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/810 < 720/810 or 9/30 < 72/81
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