Compare 8/9 and 16/27
8/9 is greater than 16/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
8/9 = 8 × 3/9 × 3 = 24/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
16/27 = 16 × 1/27 × 1 = 16/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/27 > 16/27 or 8/9 > 16/27
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