Compare 2/12 and 21/64
2/12 is smaller than 21/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 64 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 12 × 16 = 192,
2/12 = 2 × 16/12 × 16 = 32/192 - Likewise, for the 2nd fraction, since 64 × 3 = 192,
21/64 = 21 × 3/64 × 3 = 63/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/192 < 63/192 or 2/12 < 21/64
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