Compare 30/9 and 50/12
1st number: 3 3/9, 2nd number: 4 2/12
30/9 is smaller than 50/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
30/9 = 30 × 4/9 × 4 = 120/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
50/12 = 50 × 3/12 × 3 = 150/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/36 < 150/36 or 30/9 < 50/12
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