Compare 3/2 and 10/9
1st number: 1 1/2, 2nd number: 1 1/9
32 is greater than 109
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,
109 = 10 × 29 × 2 = 2018 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2718 > 2018 or 32 > 109
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