Compare 1/6 and 9/32
1/6 is smaller than 9/32
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,
1/6 = 1 × 16/6 × 16 = 16/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
9/32 = 9 × 3/32 × 3 = 27/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/96 < 27/96 or 1/6 < 9/32
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