Compare 8/18 and 35/84
8/18 is greater than 35/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 18 × 14 = 252,
8/18 = 8 × 14/18 × 14 = 112/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
35/84 = 35 × 3/84 × 3 = 105/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/252 > 105/252 or 8/18 > 35/84
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