Compare 10/96 and 10/30
10/96 is smaller than 10/30
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,
10/96 = 10 × 5/96 × 5 = 50/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
10/30 = 10 × 16/30 × 16 = 160/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/480 < 160/480 or 10/96 < 10/30
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