Compare 40/3 and 30/54
1st number: 13 1/3, 2nd number: 30/54
40/3 is greater than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 54 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 3 × 18 = 54,
40/3 = 40 × 18/3 × 18 = 720/54 - Likewise, for the 2nd fraction, since 54 × 1 = 54,
30/54 = 30 × 1/54 × 1 = 30/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 720/54 > 30/54 or 40/3 > 30/54
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