Question

Talia used 1/3 of a piece of wood for the base of her project 1/4 of the piece of wood for the vertical support and the rest for horizontal supposed what fraction of the wood did Talia use as a horizontal support.

Answer 1

Talia used 5/12 of the wood for the horizontal support after using 1/3 for the base and 1/4 for the vertical support. We add the fractions for the base and support to find they equal 7/12, then subtract from the whole to find the remaining 5/12.

Step-by-step explanation:

Talia used 1/3 of a piece of wood for the base of her project and 1/4 of the piece of wood for the vertical support. To find the fraction of wood used as horizontal support, we first need to calculate the total fraction of wood used for both the base and the vertical support.

The fraction used for the base is 1/3, and the fraction for the vertical support is 1/4:

1/3 (base) + 1/4 (vertical support) = 4/12 + 3/12 = 7/12

Now, we subtract this from the total amount of wood, which is 1 (whole):

1 - 7/12 = 12/12 - 7/12 = 5/12

Therefore, Talia used 5/12 of the piece of wood for the horizontal support.

Answer 2

The fraction of wood used for horizontal support is
`(5)/(12)`.

Step-by-step explanation:

Assume that the total piece of wood is of length 1.

It is provided that Talia used
`(1)/(3)` of the piece of wood for the base of he project.

She use
`(1)/(4)` of the piece of wood for the for the vertical support.

The remaining wood she used for horizontal support.

The amount of wood used for horizontal support can be computed by the subtracting the amount of wood used for base of the project and vertical support form 1.

Compute the amount of wood used for horizontal support as follows:

`Horizontal\ support=1-Base\ of\ project-Vertical\ support\\= 1 - (1)/(3)-(1)/(4)\\ =(12-4-3)/(12) \\=(5)/(12)`

Thus, the fraction of wood used for horizontal support is
`(5)/(12)`.