Compare 8/27 and 21/60
8/27 is smaller than 21/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 60 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 60 × 9 = 540,
21/60 = 21 × 9/60 × 9 = 189/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/540 < 189/540 or 8/27 < 21/60
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