Question

Dari divides 4/6 yards of rope equally into 1/12 yards pieces for a craft project. How manpieces of rope does Dario have ?

Answer 1

Answer: Dario has 8 pieces of rope.

Explanation:

Hi, to solve this problem we have to divide the length of the rope (4/6 yards ) by the length of the pieces ( 1/12 yards ).

So:

`(4)/(6)/ (1 )/(12) \\`

Inverting the second part, we can multiply:

`(4)/(6) * (12)/(1) = (48)/(6)`

Now simplifyng by 6

8/1.

Dario has 8 pieces of rope

Feel free to ask for more if it´s necessary or if you did not understand something

Answer 2

Division is all about equal sharing. This problem is about dividing one fraction by another.


`(4)/(6)`
yards of rope has been divided equally in to

`(1)/(12)`
yards pieces. Expressing this with the division symbol gives;


`(4)/(6) / (1)/(12)`

We now multiply the first fraction by the reciprocal of

`(1)/(12)`

This implies that


`(4)/(6) * (12)/(1)`

This gives us,


`(4)/(1) * (2)/(1) = 8`
Hence Dario will have 8 equal pieces of rope.