Compare 10/9 and 75/60
1st number: 1 1/9, 2nd number: 1 15/60
10/9 is smaller than 75/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 60 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
10/9 = 10 × 20/9 × 20 = 200/180 - Likewise, for the 2nd fraction, since 60 × 3 = 180,
75/60 = 75 × 3/60 × 3 = 225/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/180 < 225/180 or 10/9 < 75/60
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