Compare 3/45 and 8/27
3/45 is smaller than 8/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 45 × 3 = 135,
3/45 = 3 × 3/45 × 3 = 9/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
8/27 = 8 × 5/27 × 5 = 40/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/135 < 40/135 or 3/45 < 8/27
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