Compare 3/2 and 56/9
1st number: 1 1/2, 2nd number: 6 2/9
32 is smaller than 569
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 2 × 9 = 18,
32 = 3 × 92 × 9 = 2718 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
569 = 56 × 29 × 2 = 11218 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2718 < 11218 or 32 < 569
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