Compare 84/27 and 21/4
1st number: 3 3/27, 2nd number: 5 1/4
84/27 is smaller than 21/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
84/27 = 84 × 4/27 × 4 = 336/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
21/4 = 21 × 27/4 × 27 = 567/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/108 < 567/108 or 84/27 < 21/4
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