Compare 20/50 and 50/84
20/50 is smaller than 50/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 50 × 42 = 2100,
20/50 = 20 × 42/50 × 42 = 840/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
50/84 = 50 × 25/84 × 25 = 1250/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 840/2100 < 1250/2100 or 20/50 < 50/84
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