Compare 10/54 and 8/40
10/54 is smaller than 8/40
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,
10/54 = 10 × 20/54 × 20 = 200/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
8/40 = 8 × 27/40 × 27 = 216/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/1080 < 216/1080 or 10/54 < 8/40
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