In order to divide a mixed number by a fraction we have to take into account:
- It is easier to convert the mixed number into an equivalent fraction.
- Dividing by a fraction is equivalent to multiplying by the reciprocal of that fraction.
In this case, we have to divide the number 2 1/4 by 1/2.
We start by converting it to a fraction:
[tex]2+\frac{1}{4}=\frac{2\cdot4+1}{4}=\frac{8+1}{4}=\frac{9}{4}[/tex]Then, we have to divide it by 1/2. As we state before, this is the same as multiply by the reciprocal: 2/1, so we have:
[tex]\frac{\frac{9}{4}}{\frac{1}{2}}=\frac{9}{4}\cdot\frac{2}{1}=\frac{18}{4}=\frac{16+2}{4}=\frac{16}{4}+\frac{2}{4}=4+\frac{1}{2}[/tex]Answer: 4 1/2
