Compare 21/96 and 3/9
21/96 is smaller than 3/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
21/96 = 21 × 3/96 × 3 = 63/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
3/9 = 3 × 32/9 × 32 = 96/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/288 < 96/288 or 21/96 < 3/9
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