Compare 8/20 and 27/50
8/20 is smaller than 27/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 50 is 100
Next, find the equivalent fraction of both fractional numbers with denominator 100 - For the 1st fraction, since 20 × 5 = 100,
8/20 = 8 × 5/20 × 5 = 40/100 - Likewise, for the 2nd fraction, since 50 × 2 = 100,
27/50 = 27 × 2/50 × 2 = 54/100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/100 < 54/100 or 8/20 < 27/50
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