Question

A construction crew has just finished building a road. The road is 12 kilometers long .if the crew worked for 5 2/5 days, how many kilometers of road did they build each day?

Answer 1

2.22

Explanation:

all you have to do is divide 12 by 5.4

Answer 2

The build 2
`(2)/(9)` kilometers each day

Explanation:

Set up an equation

The road is 12 kilometers long and it was worked on for 5
`(2)/(5)` days.

So, to set up the equation, divide 12 by 5
`(2)/(5)`

`(12)/(5(2)/(5))` Make 5
`(2)/(5)` into an improper fraction

Multiply 5 by 5, then add 2

`(12)/((27)/(5))`

You can't divide a number by a fraction, so you kcf (keep it, change it, flip it)

So keep the 12, change the division to multiplication, flip
`(27)/(5)`

12 x
`(5)/(27)` Multiply straight across

`(12)/(1)` x
`(5)/(27)` =
`(60)/(27)`

Simplify
`(60)/(27)`

`(60)/(27)` =
`(20)/(9)` The top and the bottom both have 3 in common

Then make
`(20)/(9)` into a mixed number

2
`(2)/(9)` 9 goes into 20 2 times and has a remainder of 2