Compare 3/9 and 16/30
3/9 is smaller than 16/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
3/9 = 3 × 10/9 × 10 = 30/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
16/30 = 16 × 3/30 × 3 = 48/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/90 < 48/90 or 3/9 < 16/30
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