Compare 3/9 and 12/35
3/9 is smaller than 12/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
3/9 = 3 × 35/9 × 35 = 105/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
12/35 = 12 × 9/35 × 9 = 108/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/315 < 108/315 or 3/9 < 12/35
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