Compare 7/18 and 9/21
7/18 is smaller than 9/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
7/18 = 7 × 7/18 × 7 = 49/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
9/21 = 9 × 6/21 × 6 = 54/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/126 < 54/126 or 7/18 < 9/21
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