To answer this question, we can proceed as follows:
1. We need to remember that the division operation has different elements: the dividend (D), the quotient (q), the divisor (d), and the remainder (R), and all of them are related as follows:
[tex]D=q\cdot d+R[/tex]Equivalently, if we divide both sides of the expression above by the divisor (d), we will have the equivalent expression, which will give us the remainder as a fraction - we apply here the division property of equality:
[tex]\frac{D}{d}=\frac{q\cdot d}{d}+\frac{R}{d}\Rightarrow\frac{D}{d}=q+\frac{R}{d}[/tex]Then, if we have 9 ÷ 2, we have:
Therefore, if we apply the given formula above, we will have:
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