Compare 81/84 and 75/18
1st number: 81/84, 2nd number: 4 3/18
81/84 is smaller than 75/18
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,
81/84 = 81 × 3/84 × 3 = 243/252 - Likewise, for the 2nd fraction, since 18 × 14 = 252,
75/18 = 75 × 14/18 × 14 = 1050/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/252 < 1050/252 or 81/84 < 75/18
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