Bamboo 2

A piece of bamboo is 2 1/4 meters long. Jessie cuts 1 1/3 meters to be used for making some kites and another piece 3/4 meters long to be given to his friend. How long is the remaining piece of bamboo?

Correct answer:

x =  1/6 m

Step-by-step explanation:

$$\begin{gathered} a=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2.25\text{m} \\ j=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}\doteq 1.3333\text{m} \\ f=3/4=\frac{3}{4}=0.75\text{m} \\ x=a-j-f=\frac{9}{4}-\frac{4}{3}-\frac{3}{4}=\frac{27}{12}-\frac{16}{12}-\frac{9}{12}=\frac{27-16-9}{12}=\frac{2}{12}=\frac{1}{6}\text{m}=0.1667\text{m} \end{gathered}$$

Try another example