Compare 2/20 and 70/81
2/20 is smaller than 70/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 81 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 20 × 81 = 1620,
2/20 = 2 × 81/20 × 81 = 162/1620 - Likewise, for the 2nd fraction, since 81 × 20 = 1620,
70/81 = 70 × 20/81 × 20 = 1400/1620 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/1620 < 1400/1620 or 2/20 < 70/81
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