Compare 42/84 and 2/3
42/84 is smaller than 2/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 3 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
42/84 = 42 × 1/84 × 1 = 42/84 - Likewise, for the 2nd fraction, since 3 × 28 = 84,
2/3 = 2 × 28/3 × 28 = 56/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/84 < 56/84 or 42/84 < 2/3
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