Compare 8/27 and 16/49
8/27 is smaller than 16/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
8/27 = 8 × 49/27 × 49 = 392/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
16/49 = 16 × 27/49 × 27 = 432/1323 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/1323 < 432/1323 or 8/27 < 16/49
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