Compare 20/80 and 21/50
20/80 is smaller than 21/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 50 is 400
Next, find the equivalent fraction of both fractional numbers with denominator 400 - For the 1st fraction, since 80 × 5 = 400,
20/80 = 20 × 5/80 × 5 = 100/400 - Likewise, for the 2nd fraction, since 50 × 8 = 400,
21/50 = 21 × 8/50 × 8 = 168/400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/400 < 168/400 or 20/80 < 21/50
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