Compare 1/8 and 27/49
1/8 is smaller than 27/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 8 × 49 = 392,
1/8 = 1 × 49/8 × 49 = 49/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
27/49 = 27 × 8/49 × 8 = 216/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/392 < 216/392 or 1/8 < 27/49
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