Compare 12/27 and 40/28
1st number: 12/27, 2nd number: 1 12/28
12/27 is smaller than 40/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
12/27 = 12 × 28/27 × 28 = 336/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
40/28 = 40 × 27/28 × 27 = 1080/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/756 < 1080/756 or 12/27 < 40/28
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