Compare 10/54 and 8/20
10/54 is smaller than 8/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 20 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 54 × 10 = 540,
10/54 = 10 × 10/54 × 10 = 100/540 - Likewise, for the 2nd fraction, since 20 × 27 = 540,
8/20 = 8 × 27/20 × 27 = 216/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/540 < 216/540 or 10/54 < 8/20
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