Compare 30/12 and 75/9
1st number: 2 6/12, 2nd number: 8 3/9
30/12 is smaller than 75/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
30/12 = 30 × 3/12 × 3 = 90/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
75/9 = 75 × 4/9 × 4 = 300/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/36 < 300/36 or 30/12 < 75/9
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