Compare 2/3 and 27/36
2/3 is smaller than 27/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 36 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 3 × 12 = 36,
2/3 = 2 × 12/3 × 12 = 24/36 - Likewise, for the 2nd fraction, since 36 × 1 = 36,
27/36 = 27 × 1/36 × 1 = 27/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/36 < 27/36 or 2/3 < 27/36
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