Compare 3/96 and 9/36
3/96 is smaller than 9/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 36 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
3/96 = 3 × 3/96 × 3 = 9/288 - Likewise, for the 2nd fraction, since 36 × 8 = 288,
9/36 = 9 × 8/36 × 8 = 72/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/288 < 72/288 or 3/96 < 9/36
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