The height 3

The height of a car is 46 1/4 inches. A toy model is 2 1/2 inches tall. How many times greater is the height of the car than the height of its model?

Correct answer:

M =  18 ¹⁄₂ = 37/2

Step-by-step explanation:

$$\begin{gathered} a=46\frac{1}{4}=46+\frac{1}{4}=\frac{46\cdot 4+1}{4}=\frac{184+1}{4}=\frac{185}{4}=46\frac{1}{4}=46.25\text{in} \\ b=2\frac{1}{2}=2+\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}=2\frac{1}{2}=2.5\text{in} \\ M=a/b=\frac{185}{4}/\frac{5}{2}=\frac{185}{4}:\frac{5}{2}=\frac{185}{4}\cdot \frac{2}{5}=\frac{185\cdot 2}{4\cdot 5}=\frac{370}{20}=\frac{37}{2}=18\frac{1}{2}=18.5 \end{gathered}$$

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