Compare 3/6 and 16/27
3/6 is smaller than 16/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 6 × 9 = 54,
3/6 = 3 × 9/6 × 9 = 27/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
16/27 = 16 × 2/27 × 2 = 32/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/54 < 32/54 or 3/6 < 16/27
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