Compare 2/27 and 30/45
2/27 is smaller than 30/45
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,
2/27 = 2 × 5/27 × 5 = 10/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
30/45 = 30 × 3/45 × 3 = 90/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/135 < 90/135 or 2/27 < 30/45
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