Compare 45/12 and 35/30
1st number: 3 9/12, 2nd number: 1 5/30
45/12 is greater than 35/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
45/12 = 45 × 5/12 × 5 = 225/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
35/30 = 35 × 2/30 × 2 = 70/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/60 > 70/60 or 45/12 > 35/30
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