Compare 10/54 and 20/75
10/54 is smaller than 20/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 75 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 54 × 25 = 1350,
10/54 = 10 × 25/54 × 25 = 250/1350 - Likewise, for the 2nd fraction, since 75 × 18 = 1350,
20/75 = 20 × 18/75 × 18 = 360/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 250/1350 < 360/1350 or 10/54 < 20/75
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