Compare 28/9 and 35/24
1st number: 3 1/9, 2nd number: 1 11/24
28/9 is greater than 35/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
28/9 = 28 × 8/9 × 8 = 224/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
35/24 = 35 × 3/24 × 3 = 105/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 224/72 > 105/72 or 28/9 > 35/24
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