Compare 4/9 and 21/24
49 is smaller than 2124
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,
49 = 4 × 89 × 8 = 3272 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
2124 = 21 × 324 × 3 = 6372 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3272 < 6372 or 49 < 2124
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