Compare 1/4 and 40/54
1/4 is smaller than 40/54
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,
1/4 = 1 × 27/4 × 27 = 27/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
40/54 = 40 × 2/54 × 2 = 80/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/108 < 80/108 or 1/4 < 40/54
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