Compare 30/8 and 75/12
1st number: 3 6/8, 2nd number: 6 3/12
30/8 is smaller than 75/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 12 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 8 × 3 = 24,
30/8 = 30 × 3/8 × 3 = 90/24 - Likewise, for the 2nd fraction, since 12 × 2 = 24,
75/12 = 75 × 2/12 × 2 = 150/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/24 < 150/24 or 30/8 < 75/12
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