Compare 10/30 and 35/81
10/30 is smaller than 35/81
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,
10/30 = 10 × 27/30 × 27 = 270/810 - Likewise, for the 2nd fraction, since 81 × 10 = 810,
35/81 = 35 × 10/81 × 10 = 350/810 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/810 < 350/810 or 10/30 < 35/81
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