Compare 30/50 and 20/84
30/50 is greater than 20/84
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,
30/50 = 30 × 42/50 × 42 = 1260/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
20/84 = 20 × 25/84 × 25 = 500/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1260/2100 > 500/2100 or 30/50 > 20/84
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