Compare 84/16 and 64/9
1st number: 5 4/16, 2nd number: 7 1/9
84/16 is smaller than 64/9
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,
84/16 = 84 × 9/16 × 9 = 756/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
64/9 = 64 × 16/9 × 16 = 1024/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 756/144 < 1024/144 or 84/16 < 64/9
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