Compare 2/6 and 27/32
2/6 is smaller than 27/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 6 × 16 = 96,
2/6 = 2 × 16/6 × 16 = 32/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
27/32 = 27 × 3/32 × 3 = 81/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/96 < 81/96 or 2/6 < 27/32
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