Compare 6/12 and 3/9
6/12 is greater than 3/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
6/12 = 6 × 3/12 × 3 = 18/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
3/9 = 3 × 4/9 × 4 = 12/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/36 > 12/36 or 6/12 > 3/9
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