Compare 3/96 and 7/30
3/96 is smaller than 7/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
3/96 = 3 × 5/96 × 5 = 15/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
7/30 = 7 × 16/30 × 16 = 112/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/480 < 112/480 or 3/96 < 7/30
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