Compare 10/12 and 10/9
1st number: 10/12, 2nd number: 1 1/9
1012 is smaller than 109
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
1012 = 10 × 312 × 3 = 3036 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
109 = 10 × 49 × 4 = 4036 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3036 < 4036 or 1012 < 109
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