Walnuts 2

There are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2 pounds. How many containers will walnuts fill?

Correct answer:

n =  4 ⁴⁄₉ = 40/9

Step-by-step explanation:

$$\begin{gathered} a=6\frac{2}{3}=6+\frac{2}{3}=\frac{6\cdot 3+2}{3}=\frac{18+2}{3}=\frac{20}{3}=6\frac{2}{3}\doteq 6.6667\text{lb} \\ b=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5\text{lb} \\ n=a/b=\frac{20}{3}/\frac{3}{2}=\frac{20}{3}:\frac{3}{2}=\frac{20}{3}\cdot \frac{2}{3}=\frac{20\cdot 2}{3\cdot 3}=\frac{40}{9}=4\frac{4}{9}=4.4444 \end{gathered}$$

Try another example