Compare 2/49 and 8/27
2/49 is smaller than 8/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
2/49 = 2 × 27/49 × 27 = 54/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
8/27 = 8 × 49/27 × 49 = 392/1323 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/1323 < 392/1323 or 2/49 < 8/27
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