Compare 2/8 and 12/27
2/8 is smaller than 12/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
2/8 = 2 × 27/8 × 27 = 54/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
12/27 = 12 × 8/27 × 8 = 96/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/216 < 96/216 or 2/8 < 12/27
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