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:

$8\frac{3}{4}$

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

$\begin{gathered} 8\frac{3}{4}=8+\frac{3}{4} \\ \\ \end{gathered}$

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

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

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:

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

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