Compare 4/9 and 30/96
4/9 is greater than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
4/9 = 4 × 32/9 × 32 = 128/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
30/96 = 30 × 3/96 × 3 = 90/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/288 > 90/288 or 4/9 > 30/96
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