Compare 7/27 and 49/4
1st number: 7/27, 2nd number: 12 1/4
7/27 is smaller than 49/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
7/27 = 7 × 4/27 × 4 = 28/108 - 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
- 28/108 < 1323/108 or 7/27 < 49/4
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