Compare 30/28 and 45/27
1st number: 1 2/28, 2nd number: 1 18/27
30/28 is smaller than 45/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 28 × 27 = 756,
30/28 = 30 × 27/28 × 27 = 810/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
45/27 = 45 × 28/27 × 28 = 1260/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/756 < 1260/756 or 30/28 < 45/27
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