Compare 9/18 and 21/24
9/18 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 18 × 4 = 72,
9/18 = 9 × 4/18 × 4 = 36/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
21/24 = 21 × 3/24 × 3 = 63/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/72 < 63/72 or 9/18 < 21/24
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