Question

(Score for Question of pointes) 9. Consider 2.3/4 divided by 1/8 (a) Write a real world problem for the division, (b) Create and explain a model for the division (e) Find the quotient Show your work of explain your reasoning

PLS 100 POINTS​

Answer 1

a) A real-world problem for the division is "Pedro has
`2(3)/(4)` liters of fuel and he wants to divide it equally into bottles. Each bottle can hold
`(1)/(8)` liters. How many bottles can Pedro fill?

b) We can create a model of bottles that each can contain
`(1)/(8)` liters of fuel. Then we fill the bottles using the
`2(3)/(4)` liters that Pedro has to see how many bottles he can fill.

c) The quotient is 22 bottles.

The total quantity of fuel that Petro has =
`2(3)/(4)` liters = 2.75 liters

The capacity of each bottle =
`(1)/(8)` liters

The total number of bottles that can be filled = 22 (
`2(3)/(4)` ÷
`(1)/(8)`)

= 2.75 x 8 = 22 bottles

Thus, based on the division model, the quotient is 22 bottles.

Complete Question:

Consider
`2(3)/(4)` divided by
`(1)/(8)` (a) Write a real-world problem for the division. (b) Create and explain a model for the division (c) Find the quotient. Show your work or explain your reasoning.