Compare 4/24 and 27/54
4/24 is smaller than 27/54
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,
4/24 = 4 × 9/24 × 9 = 36/216 - Likewise, for the 2nd fraction, since 54 × 4 = 216,
27/54 = 27 × 4/54 × 4 = 108/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/216 < 108/216 or 4/24 < 27/54
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