Compare 6/84 and 16/18
6/84 is smaller than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 18 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
6/84 = 6 × 3/84 × 3 = 18/252 - Likewise, for the 2nd fraction, since 18 × 14 = 252,
16/18 = 16 × 14/18 × 14 = 224/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/252 < 224/252 or 6/84 < 16/18
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