Compare 12/9 and 75/45
1st number: 1 3/9, 2nd number: 1 30/45
12/9 is smaller than 75/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
12/9 = 12 × 5/9 × 5 = 60/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
75/45 = 75 × 1/45 × 1 = 75/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/45 < 75/45 or 12/9 < 75/45
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