Compare 30/12 and 60/40
1st number: 2 6/12, 2nd number: 1 20/40
30/12 is greater than 60/40
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,
30/12 = 30 × 10/12 × 10 = 300/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
60/40 = 60 × 3/40 × 3 = 180/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/120 > 180/120 or 30/12 > 60/40
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