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Jane is making a suit which requires \(\frac{25}{8}\) yards for the jacket and \(\frac{13}{4}\) yards for the skirt. What's the total amount of material she needs?

A) \(\frac{35}{8}\) yards
B) \(3 \frac{1}{2}\) yards
C) 4 yards
D) [tex]\(3 \frac{2}{3}\)[/tex] yards

Sagot :

Certainly! Let's go through the steps to find out the total amount of material Jane needs for her suit.

1. Calculate the material needed for the jacket:
Jane requires \(\frac{25}{8}\) yards of fabric for the jacket.
[tex]\[ \frac{25}{8} = 3.125 \text{ yards} \][/tex]

2. Calculate the material needed for the skirt:
Jane requires \(\frac{13}{4}\) yards of fabric for the skirt.
[tex]\[ \frac{13}{4} = 3.25 \text{ yards} \][/tex]

3. Calculate the total material needed:
To find the total amount of material, we need to add the material required for the jacket and the skirt.
[tex]\[ 3.125 + 3.25 = 6.375 \text{ yards} \][/tex]

Given the options are in mixed fractions, let's see if we can match \(6.375\) yards with one of the given options.

[tex]\[ 6.375 = 6 \frac{3}{8} \text{ yards} \][/tex]

However, none of the choices match [tex]\(6.375\)[/tex] yards directly. Therefore, if we were only considering these options, none of the provided choices (A, B, C, or D) correctly represents the total amount of material Jane needs. Therefore, based on the correct calculation, the answer should be [tex]\(6.375\)[/tex] yards.