Compare 2/36 and 30/54
2/36 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 54 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 36 × 3 = 108,
2/36 = 2 × 3/36 × 3 = 6/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
30/54 = 30 × 2/54 × 2 = 60/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/108 < 60/108 or 2/36 < 30/54
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