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

$\begin{gathered} \frac{8\frac{1}{2}}{\frac{3}{4}}=11\frac{1}{3} \\ \end{gathered}$

now let's solve for A

$\frac{11\frac{1}{3}}{\frac{3}{4}}=\frac{\frac{34}{3}}{\frac{3}{4}}=\frac{34}{3}\times\frac{4}{3}=\frac{136}{9}=15\frac{1}{9}$

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

b

$\frac{8\frac{1}{2}}{\frac{3}{4}}=\frac{\frac{17}{2}}{\frac{3}{4}}=\frac{17}{2}\times\frac{4}{3}=11\frac{1}{3}$

option B is correct

let's check for option c

option c is incorrect

let's check for option d

$\frac{8\frac{1}{2}}{\frac{3}{4}}=\frac{\frac{17}{2}}{\frac{3}{4}}=\frac{17}{2}\times\frac{4}{2}=17$

option D is also incorrect

from the calculations above, only option B is correct