Compare 3/7 and 9/18
3/7 is smaller than 9/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 7 × 18 = 126,
3/7 = 3 × 18/7 × 18 = 54/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
9/18 = 9 × 7/18 × 7 = 63/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/126 < 63/126 or 3/7 < 9/18
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