Compare 10/18 and 40/54
10/18 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 54 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 18 × 3 = 54,
10/18 = 10 × 3/18 × 3 = 30/54 - Likewise, for the 2nd fraction, since 54 × 1 = 54,
40/54 = 40 × 1/54 × 1 = 40/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/54 < 40/54 or 10/18 < 40/54
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