Compare 30/54 and 10/4
1st number: 30/54, 2nd number: 2 2/4
30/54 is smaller than 10/4
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,
30/54 = 30 × 2/54 × 2 = 60/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
10/4 = 10 × 27/4 × 27 = 270/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/108 < 270/108 or 30/54 < 10/4
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