Compare 30/64 and 12/24
30/64 is smaller than 12/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 24 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 64 × 3 = 192,
30/64 = 30 × 3/64 × 3 = 90/192 - Likewise, for the 2nd fraction, since 24 × 8 = 192,
12/24 = 12 × 8/24 × 8 = 96/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/192 < 96/192 or 30/64 < 12/24
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