Compare 49/2 and 30/27
1st number: 24 1/2, 2nd number: 1 3/27
49/2 is greater than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
49/2 = 49 × 27/2 × 27 = 1323/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
30/27 = 30 × 2/27 × 2 = 60/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1323/54 > 60/54 or 49/2 > 30/27
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