Compare 3/30 and 12/96
3/30 is smaller than 12/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
3/30 = 3 × 16/30 × 16 = 48/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
12/96 = 12 × 5/96 × 5 = 60/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/480 < 60/480 or 3/30 < 12/96
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