Compare 9/12 and 16/30
9/12 is greater than 16/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 30 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 12 × 5 = 60,
9/12 = 9 × 5/12 × 5 = 45/60 - Likewise, for the 2nd fraction, since 30 × 2 = 60,
16/30 = 16 × 2/30 × 2 = 32/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/60 > 32/60 or 9/12 > 16/30
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