Compare 4/16 and 3/9
4/16 is smaller than 3/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
4/16 = 4 × 9/16 × 9 = 36/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
3/9 = 3 × 16/9 × 16 = 48/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/144 < 48/144 or 4/16 < 3/9
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