Compare 1/45 and 30/27
1st number: 1/45, 2nd number: 1 3/27
1/45 is smaller than 30/27
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,
1/45 = 1 × 3/45 × 3 = 3/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
30/27 = 30 × 5/27 × 5 = 150/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3/135 < 150/135 or 1/45 < 30/27
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