Compare 9/30 and 7/96
9/30 is greater than 7/96
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,
9/30 = 9 × 16/30 × 16 = 144/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
7/96 = 7 × 5/96 × 5 = 35/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/480 > 35/480 or 9/30 > 7/96
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