Compare 3/28 and 30/27
1st number: 3/28, 2nd number: 1 3/27
3/28 is smaller than 30/27
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,
3/28 = 3 × 27/28 × 27 = 81/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
30/27 = 30 × 28/27 × 28 = 840/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/756 < 840/756 or 3/28 < 30/27
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