Compare 84/5 and 32/9
1st number: 16 4/5, 2nd number: 3 5/9
84/5 is greater than 32/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 5 × 9 = 45,
84/5 = 84 × 9/5 × 9 = 756/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
32/9 = 32 × 5/9 × 5 = 160/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 756/45 > 160/45 or 84/5 > 32/9
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