Compare 20/27 and 14/32
20/27 is greater than 14/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
20/27 = 20 × 32/27 × 32 = 640/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
14/32 = 14 × 27/32 × 27 = 378/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/864 > 378/864 or 20/27 > 14/32
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