Compare 7/12 and 42/81
7/12 is greater than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 81 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 12 × 27 = 324,
7/12 = 7 × 27/12 × 27 = 189/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
42/81 = 42 × 4/81 × 4 = 168/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/324 > 168/324 or 7/12 > 42/81
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