Compare 75/2 and 80/9
1st number: 37 1/2, 2nd number: 8 8/9
75/2 is greater than 80/9
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,
75/2 = 75 × 9/2 × 9 = 675/18 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
80/9 = 80 × 2/9 × 2 = 160/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/18 > 160/18 or 75/2 > 80/9
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