Compare 40/9 and 35/16
1st number: 4 4/9, 2nd number: 2 3/16
40/9 is greater than 35/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
40/9 = 40 × 16/9 × 16 = 640/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
35/16 = 35 × 9/16 × 9 = 315/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/144 > 315/144 or 40/9 > 35/16
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