Compare 3/14 and 6/9
314 is smaller than 69
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
314 = 3 × 914 × 9 = 27126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
69 = 6 × 149 × 14 = 84126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27126 < 84126 or 314 < 69
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