Compare 8/3 and 10/9
1st number: 2 2/3, 2nd number: 1 1/9
83 is greater than 109
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 9 is 9
Next, find the equivalent fraction of both fractional numbers with denominator 9 - For the 1st fraction, since 3 × 3 = 9,
83 = 8 × 33 × 3 = 249 - Likewise, for the 2nd fraction, since 9 × 1 = 9,
109 = 10 × 19 × 1 = 109 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 249 > 109 or 83 > 109
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