Compare 10/30 and 9/12
10/30 is smaller than 9/12
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,
10/30 = 10 × 2/30 × 2 = 20/60 - Likewise, for the 2nd fraction, since 12 × 5 = 60,
9/12 = 9 × 5/12 × 5 = 45/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/60 < 45/60 or 10/30 < 9/12
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