Compare 42/45 and 27/81
42/45 is greater than 27/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 81 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 45 × 9 = 405,
42/45 = 42 × 9/45 × 9 = 378/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
27/81 = 27 × 5/81 × 5 = 135/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 378/405 > 135/405 or 42/45 > 27/81
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