Compare 8/27 and 16/45
8/27 is smaller than 16/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
8/27 = 8 × 5/27 × 5 = 40/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
16/45 = 16 × 3/45 × 3 = 48/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/135 < 48/135 or 8/27 < 16/45
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