To determine the type of number that results from the expression \( 19 - \frac{3}{2} \), we first need to perform the calculation.
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Convert \( 19 \) into a fraction with the same denominator as \( \frac{3}{2} \): \[ 19 = \frac{19 \times 2}{1 \times 2} = \frac{38}{2} \]
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Now, subtract \( \frac{3}{2} \): \[ \frac{38}{2} - \frac{3}{2} = \frac{38 - 3}{2} = \frac{35}{2} \]
The result is \( \frac{35}{2} \), which is a fraction.
Now we classify the type of number:
- An integer is a whole number that can be positive, negative, or zero (not applicable here, as \( \frac{35}{2} \) is not a whole number).
- A whole number is a non-negative integer (also not applicable here).
- A rational number is any number that can be expressed as a fraction of two integers (this includes \( \frac{35}{2} \)).
- An irrational number cannot be expressed as a fraction of two integers (not applicable here).
Since \( \frac{35}{2} \) can be expressed as a fraction of two integers, the result is a rational number.