Compare 7/20 and 49/81
7/20 is smaller than 49/81
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,
7/20 = 7 × 81/20 × 81 = 567/1620 - Likewise, for the 2nd fraction, since 81 × 20 = 1620,
49/81 = 49 × 20/81 × 20 = 980/1620 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/1620 < 980/1620 or 7/20 < 49/81
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