Compare 1/27 and 12/49
1/27 is smaller than 12/49
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,
1/27 = 1 × 49/27 × 49 = 49/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
12/49 = 12 × 27/49 × 27 = 324/1323 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/1323 < 324/1323 or 1/27 < 12/49
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