Compare 2/54 and 15/36
2/54 is smaller than 15/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 36 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 54 × 2 = 108,
2/54 = 2 × 2/54 × 2 = 4/108 - Likewise, for the 2nd fraction, since 36 × 3 = 108,
15/36 = 15 × 3/36 × 3 = 45/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/108 < 45/108 or 2/54 < 15/36
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