Compare 2/9 and 12/24
2/9 is smaller than 12/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
2/9 = 2 × 8/9 × 8 = 16/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
12/24 = 12 × 3/24 × 3 = 36/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/72 < 36/72 or 2/9 < 12/24
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