Secondary 81688

Hello, this year I am doing the entrance exams for secondary school. I wanted to ask if I have an example: HOW MANY TIMES is a quarter of the number 1.5 smaller than the number 4 1/2, and I don't know what to do with that? HOW MANY TIMES will I add, subtract, multiply, or share? Does anyone know how to calculate it, please?

Correct answer:

x =  12

Step-by-step explanation:

$$\begin{gathered} a=\frac{1}{4}\cdot 1.5=\frac{3}{8}=0.375 \\ b=4\frac{1}{2}=4+\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}=4\frac{1}{2}=4.5 \\ x=b/a=\frac{9}{2}/\frac{3}{8}=\frac{9}{2}:\frac{3}{8}=\frac{9}{2}\cdot \frac{8}{3}=\frac{9\cdot 8}{2\cdot 3}=\frac{72}{6}=12 \end{gathered}$$

Try another example