Compare 9/30 and 75/12
1st number: 9/30, 2nd number: 6 3/12
9/30 is smaller than 75/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 12 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
9/30 = 9 × 2/30 × 2 = 18/60 - Likewise, for the 2nd fraction, since 12 × 5 = 60,
75/12 = 75 × 5/12 × 5 = 375/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/60 < 375/60 or 9/30 < 75/12
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