Compare 8/12 and 8/42
8/12 is greater than 8/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
8/12 = 8 × 7/12 × 7 = 56/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
8/42 = 8 × 2/42 × 2 = 16/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/84 > 16/84 or 8/12 > 8/42
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