Compare 20/12 and 80/9
1st number: 1 8/12, 2nd number: 8 8/9
20/12 is smaller than 80/9
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,
20/12 = 20 × 3/12 × 3 = 60/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
80/9 = 80 × 4/9 × 4 = 320/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/36 < 320/36 or 20/12 < 80/9
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