Compare 3/6 and 6/9
36 is smaller than 69
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 6 × 3 = 18,
36 = 3 × 36 × 3 = 918 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
69 = 6 × 29 × 2 = 1218 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 918 < 1218 or 36 < 69
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