Compare 30/96 and 21/10
1st number: 30/96, 2nd number: 2 1/10
30/96 is smaller than 21/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 10 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
30/96 = 30 × 5/96 × 5 = 150/480 - Likewise, for the 2nd fraction, since 10 × 48 = 480,
21/10 = 21 × 48/10 × 48 = 1008/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/480 < 1008/480 or 30/96 < 21/10
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