Compare 9/18 and 6/7
9/18 is smaller than 6/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 7 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
9/18 = 9 × 7/18 × 7 = 63/126 - Likewise, for the 2nd fraction, since 7 × 18 = 126,
6/7 = 6 × 18/7 × 18 = 108/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/126 < 108/126 or 9/18 < 6/7
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