Compare 2/84 and 6/64
2/84 is smaller than 6/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 84 × 16 = 1344,
2/84 = 2 × 16/84 × 16 = 32/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
6/64 = 6 × 21/64 × 21 = 126/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/1344 < 126/1344 or 2/84 < 6/64
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