A pupil

A pupil in our street goes to school by taking a bus to travel 1 1/2 km and then walks 1 1/4 km. What is the distance between his school and house?

Correct answer:

x =  2 ³⁄₄ = 11/4 km

Step-by-step explanation:

$$\begin{gathered} a=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1.5\text{km} \\ b=1\frac{1}{4}=1+\frac{1}{4}=\frac{1\cdot 4+1}{4}=\frac{4+1}{4}=\frac{5}{4}=1.25\text{km} \\ x=a+b=\frac{3}{2}+\frac{5}{4}=\frac{6}{4}+\frac{5}{4}=\frac{6+5}{4}=\frac{11}{4}=\frac{11}{4}\text{km}=2\frac{3}{4}\text{km}=2.75\text{km} \end{gathered}$$

Try another example