Compare 8/27 and 21/50
8/27 is smaller than 21/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 50 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 27 × 50 = 1350,
8/27 = 8 × 50/27 × 50 = 400/1350 - Likewise, for the 2nd fraction, since 50 × 27 = 1350,
21/50 = 21 × 27/50 × 27 = 567/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/1350 < 567/1350 or 8/27 < 21/50
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