Compare 1/30 and 21/96
1/30 is smaller 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,
1/30 = 1 × 16/30 × 16 = 16/480 - 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
- 16/480 < 105/480 or 1/30 < 21/96
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