Compare 40/9 and 84/5
1st number: 4 4/9, 2nd number: 16 4/5
40/9 is smaller than 84/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 5 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
40/9 = 40 × 5/9 × 5 = 200/45 - Likewise, for the 2nd fraction, since 5 × 9 = 45,
84/5 = 84 × 9/5 × 9 = 756/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/45 < 756/45 or 40/9 < 84/5
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