Question

Carlo has 8 3/4 yard of material. She needs to use 1/3 of the material to make a dress. How many yards of material will she need to make the dress?

Answer 1

We have that:

• Carlo has 8 3/4 yards of material

,

• She needs to use 1/3 of the material to make a dress

Then we need to determine the number of yards of material she needs to make a dress.

To find it, we can proceed as follows:

1. We have that the total of material is:

`8(3)/(4)`

2. And this mixed fraction is equivalent to the next improper fraction:

`\begin{gathered} 8(3)/(4)=8+(3)/(4) \\ \\ \end{gathered}`

3. We also know that the formula to add two fractions is as follows:

`\begin{gathered} (a)/(b)+(c)/(d)=(ad+bc)/(bd) \\ \\ \text{ Then we have:} \\ \\ 8+(3)/(4)=(8)/(1)+(3)/(4)=(8(4)+3(1))/(1(4))=(32+3)/(4)=(35)/(4) \\ \\ \therefore8(3)/(4)=(35)/(4) \end{gathered}`

4. Now, to find the third part, we already know that the third part of a number is the number times 1/3 (or vice-versa). Then we have:

`\begin{gathered} (1)/(3)*n\Rightarrow \\ \\ (1)/(3)*(35)/(4)=(1(35))/(3(4))=(35)/(12) \\ \\ \end{gathered}`

Therefore, Carlo needs 35/12 yards of material to make the dres