Compare 2/4 and 20/27
2/4 is smaller than 20/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
2/4 = 2 × 27/4 × 27 = 54/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
20/27 = 20 × 4/27 × 4 = 80/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/108 < 80/108 or 2/4 < 20/27
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