Compare 8/27 and 45/20
1st number: 8/27, 2nd number: 2 5/20
8/27 is smaller than 45/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 20 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
8/27 = 8 × 20/27 × 20 = 160/540 - Likewise, for the 2nd fraction, since 20 × 27 = 540,
45/20 = 45 × 27/20 × 27 = 1215/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/540 < 1215/540 or 8/27 < 45/20
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