Answer: you have to see how many gallons fill the container per minute, so take 3/4 and divide it by 1/5, which gives 15/4. So he multiplied the two numbers instead of dividing.
Step-by-step explanation:
Answer:
[tex]\frac{15}{4}[/tex] gallon per minute
Step-by-step explanation:
Given parameters:
Quantity of gallon = [tex]\frac{3}{4}[/tex] gallon
Time taken = [tex]\frac{1}{5}[/tex] min
Unknown:
The solution is [tex]\frac{3}{20}[/tex] gallon per minute, what did he do wrong = ?
Solution:
To find the rate:
Rate = [tex]\frac{Quantity of gallon}{time }[/tex]
Input the parameters and solve
Rate = [tex]\frac{\frac{3}{4} }{\frac{1}{5} }[/tex] = [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5}[/tex]
Invert the [tex]\frac{1}{5}[/tex] to give 5
= [tex]\frac{3}{4}[/tex] x 5
= [tex]\frac{15}{4}[/tex] gallon per minute
The student failed to invert the [tex]\frac{1}{5}[/tex] before multiplying with [tex]\frac{3}{4}[/tex]
