Answer: [tex]18\frac{8}{9}\text{ pots}[/tex]
Step-by-step explanation:
It is given that The quantity of potting soil Yao Xin puts in each pot[tex]= \frac{3}{10}[/tex] liters
Total quantity of potting soil she has =[tex]5\frac{2}{3}\ liters[/tex]
Since it is given in mixed fraction, so convert it into improper fraction.
[tex]5\frac{2}{3}=\frac{3\times3+2}{3}=\frac{17}{3}[/tex]
So, Total quantity of potting soil she has =[tex]\frac{17}{3}\ liters[/tex]
Now, The number of pots Yao Xin fill= [tex]\frac{17}{3}\div\frac{3}{10}[/tex]
⇒ The number of pots Yao Xin can fill = [tex]\frac{17}{3}\times\frac{10}{3}=\frac{170}{9}=18\frac{8}{9}[/tex]
Therefore, the number of pots Yao Xin can fill =[tex]18\frac{8}{9}\text{ pots}[/tex]
