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?

Respuesta :

Answer:

2.22

Step-by-step explanation:

all you have to do is divide 12 by 5.4

Answer:

The build 2 [tex]\frac{2}{9}[/tex] kilometers each day

Step-by-step explanation:

Set up an equation

The road is 12 kilometers long and it was worked on for 5 [tex]\frac{2}{5}[/tex] days.

So, to set up the equation, divide 12 by 5 [tex]\frac{2}{5}[/tex]

[tex]\frac{12}{5\frac{2}{5}}[/tex]  Make 5 [tex]\frac{2}{5}[/tex] into an improper fraction

Multiply 5 by 5, then add 2

[tex]\frac{12}{\frac{27}{5}}[/tex]

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 [tex]\frac{27}{5}[/tex]

12 x [tex]\frac{5}{27}[/tex] Multiply straight across

[tex]\frac{12}{1}[/tex] x [tex]\frac{5}{27}[/tex] = [tex]\frac{60}{27}[/tex]

Simplify [tex]\frac{60}{27}[/tex]

[tex]\frac{60}{27}[/tex] = [tex]\frac{20}{9}[/tex]  The top and the bottom both have 3 in common

Then make [tex]\frac{20}{9}[/tex] into a mixed number

2 [tex]\frac{2}{9}[/tex] 9 goes into 20 2 times and has a remainder of 2