Compare 30/36 and 14/96
30/36 is greater than 14/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 36 × 8 = 288,
30/36 = 30 × 8/36 × 8 = 240/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
14/96 = 14 × 3/96 × 3 = 42/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/288 > 42/288 or 30/36 > 14/96
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