Compare 7/30 and 21/96
7/30 is greater than 21/96
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,
7/30 = 7 × 16/30 × 16 = 112/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
21/96 = 21 × 5/96 × 5 = 105/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/480 > 105/480 or 7/30 > 21/96
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