Compare 1/54 and 7/40
1/54 is smaller than 7/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 54 × 20 = 1080,
1/54 = 1 × 20/54 × 20 = 20/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
7/40 = 7 × 27/40 × 27 = 189/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/1080 < 189/1080 or 1/54 < 7/40
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