Compare 5/18 and 45/84
5/18 is smaller than 45/84
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,
5/18 = 5 × 14/18 × 14 = 70/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
45/84 = 45 × 3/84 × 3 = 135/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/252 < 135/252 or 5/18 < 45/84
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