Compare 30/12 and 84/20
1st number: 2 6/12, 2nd number: 4 4/20
30/12 is smaller than 84/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 20 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
30/12 = 30 × 5/12 × 5 = 150/60 - Likewise, for the 2nd fraction, since 20 × 3 = 60,
84/20 = 84 × 3/20 × 3 = 252/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/60 < 252/60 or 30/12 < 84/20
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