Compare 7/4 and 49/54
1st number: 1 3/4, 2nd number: 49/54
7/4 is greater than 49/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 54 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
7/4 = 7 × 27/4 × 27 = 189/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
49/54 = 49 × 2/54 × 2 = 98/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/108 > 98/108 or 7/4 > 49/54
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