Compare 8/21 and 35/18
1st number: 8/21, 2nd number: 1 17/18
8/21 is smaller than 35/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
8/21 = 8 × 6/21 × 6 = 48/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
35/18 = 35 × 7/18 × 7 = 245/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/126 < 245/126 or 8/21 < 35/18
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