Compare 8/54 and 49/4
1st number: 8/54, 2nd number: 12 1/4
8/54 is smaller than 49/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 54 × 2 = 108,
8/54 = 8 × 2/54 × 2 = 16/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
49/4 = 49 × 27/4 × 27 = 1323/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/108 < 1323/108 or 8/54 < 49/4
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