Compare 2/3 and 27/28
2/3 is smaller than 27/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
2/3 = 2 × 28/3 × 28 = 56/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
27/28 = 27 × 3/28 × 3 = 81/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/84 < 81/84 or 2/3 < 27/28
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