Compare 36/12 and 30/3
1st number: 3 0/12, 2nd number: 10 0/3
36/12 is smaller than 30/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 3 is 12
Next, find the equivalent fraction of both fractional numbers with denominator 12 - For the 1st fraction, since 12 × 1 = 12,
36/12 = 36 × 1/12 × 1 = 36/12 - Likewise, for the 2nd fraction, since 3 × 4 = 12,
30/3 = 30 × 4/3 × 4 = 120/12 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/12 < 120/12 or 36/12 < 30/3
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