Compare 75/84 and 30/50
75/84 is greater than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 50 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
75/84 = 75 × 25/84 × 25 = 1875/2100 - Likewise, for the 2nd fraction, since 50 × 42 = 2100,
30/50 = 30 × 42/50 × 42 = 1260/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1875/2100 > 1260/2100 or 75/84 > 30/50
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