Compare 3/6 and 49/84
3/6 is smaller than 49/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 6 × 14 = 84,
3/6 = 3 × 14/6 × 14 = 42/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
49/84 = 49 × 1/84 × 1 = 49/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/84 < 49/84 or 3/6 < 49/84
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