Compare 30/50 and 35/54
30/50 is smaller than 35/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 50 × 27 = 1350,
30/50 = 30 × 27/50 × 27 = 810/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
35/54 = 35 × 25/54 × 25 = 875/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/1350 < 875/1350 or 30/50 < 35/54
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