1 1/2 divided by 1/2

1 1/2 divided by 1/2

$$\dfrac{ 1\frac{1}{2} } {\frac{1}{2} }\\\\ =\dfrac{ 1+\frac{1}{2} } {\frac{1}{2} }\\\\ =\dfrac{ 1 } {\frac{1}{2} } +\dfrac{ \frac{1}{2} } {\frac{1}{2} }\\\\ =\dfrac{ 1 } {\frac{1}{2} } +1\\\\ =1\cdot \frac{2}{1} } +1\\ = 2+1\\ =3$$

or

$$\dfrac{ 1\frac{1}{2} } {\frac{1}{2} }\\\\ = \dfrac{ \frac{3}{2} } {\frac{1}{2} }\\\\ = \frac{3}{2} \cdot \frac{2}{1} \\ =3$$

$$1 \frac{1}{2} = \frac{3}{2}$$

$$\frac{{(\frac{3}{2})}}{2} = \frac{3}{2 \cdot 2} = \frac{3}{4}$$

or

$$1\frac{1}{2} = 1.5$$

$$\frac{1.5}{2} = 0.75$$