Compare 2/81 and 45/70
2/81 is smaller than 45/70
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,
2/81 = 2 × 70/81 × 70 = 140/5670 - Likewise, for the 2nd fraction, since 70 × 81 = 5670,
45/70 = 45 × 81/70 × 81 = 3645/5670 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/5670 < 3645/5670 or 2/81 < 45/70
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