Compare 9/24 and 21/54
9/24 is smaller than 21/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 54 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 24 × 9 = 216,
9/24 = 9 × 9/24 × 9 = 81/216 - Likewise, for the 2nd fraction, since 54 × 4 = 216,
21/54 = 21 × 4/54 × 4 = 84/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/216 < 84/216 or 9/24 < 21/54
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