Compare 8/3 and 84/27
1st number: 2 2/3, 2nd number: 3 3/27
8/3 is smaller than 84/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
8/3 = 8 × 9/3 × 9 = 72/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
84/27 = 84 × 1/27 × 1 = 84/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/27 < 84/27 or 8/3 < 84/27
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