Compare 18/16 and 40/9
1st number: 1 2/16, 2nd number: 4 4/9
18/16 is smaller than 40/9
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,
18/16 = 18 × 9/16 × 9 = 162/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
40/9 = 40 × 16/9 × 16 = 640/144 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/144 < 640/144 or 18/16 < 40/9
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