Compare 7/81 and 42/45
7/81 is smaller than 42/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 45 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 81 × 5 = 405,
7/81 = 7 × 5/81 × 5 = 35/405 - Likewise, for the 2nd fraction, since 45 × 9 = 405,
42/45 = 42 × 9/45 × 9 = 378/405 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/405 < 378/405 or 7/81 < 42/45
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