Compare 2/84 and 10/18
2/84 is smaller than 10/18
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,
2/84 = 2 × 3/84 × 3 = 6/252 - Likewise, for the 2nd fraction, since 18 × 14 = 252,
10/18 = 10 × 14/18 × 14 = 140/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/252 < 140/252 or 2/84 < 10/18
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