Compare 45/12 and 70/40
1st number: 3 9/12, 2nd number: 1 30/40
45/12 is greater than 70/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 12 × 10 = 120,
45/12 = 45 × 10/12 × 10 = 450/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
70/40 = 70 × 3/40 × 3 = 210/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/120 > 210/120 or 45/12 > 70/40
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