Compare 3/81 and 30/70
3/81 is smaller than 30/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 70 is 5670
Next, find the equivalent fraction of both fractional numbers with denominator 5670 - For the 1st fraction, since 81 × 70 = 5670,
3/81 = 3 × 70/81 × 70 = 210/5670 - Likewise, for the 2nd fraction, since 70 × 81 = 5670,
30/70 = 30 × 81/70 × 81 = 2430/5670 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/5670 < 2430/5670 or 3/81 < 30/70
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