Question

A number sentence is shown below involving division of fractions.8 1/2 ÷ 3/4= 11 1/3A. If you have 11 1/3 tons of marble divided into 3/4 of ton of freight containers, you would have 8 1/2 freight containers.B. If you have 8 1/2 cups of shelled peas, you can get 11 1/3 servings if each serving is 3/4 cup.C. If you exercise for 3/4 hour each day, you exercise for 8 1/2 hours in 11 1/3 days.D If you have 8 1/2 liters of soda, 3/4 of it would be 11 1/3 liters.

Answer 1

hello

the expression given is

`\begin{gathered} (8(1)/(2))/((3)/(4))=11(1)/(3) \\ \end{gathered}`

now let's solve for A

`(11(1)/(3))/((3)/(4))=((34)/(3))/((3)/(4))=(34)/(3)*(4)/(3)=(136)/(9)=15(1)/(9)`

from the calculation above, 15 1/9 is not equal to 8 1/2

b

`(8(1)/(2))/((3)/(4))=((17)/(2))/((3)/(4))=(17)/(2)*(4)/(3)=11(1)/(3)`

option B is correct

let's check for option c

option c is incorrect

let's check for option d

`(8(1)/(2))/((3)/(4))=((17)/(2))/((3)/(4))=(17)/(2)*(4)/(2)=17`

option D is also incorrect

from the calculations above, only option B is correct