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Answer :
To find out how thick the texturing on the wall is, we need to consider the thickness of both the wall's cross-section and the drywall. Let's break it down step-by-step:
1. Wall's Cross-Section Thickness:
The thickness of the cross-section of the wall is given as [tex]\( \frac{7}{16} \)[/tex] of an inch.
2. Drywall Thickness:
The thickness of the drywall is [tex]\( \frac{1}{4} \)[/tex] of an inch.
3. Calculating the Texturing Thickness:
To find the texturing thickness, we subtract the drywall thickness from the total thickness of the wall's cross-section.
[tex]\[
\text{Texturing Thickness} = \frac{7}{16} - \frac{1}{4}
\][/tex]
4. Aligning the Denominators for Subtraction:
To subtract these fractions, we need a common denominator. The least common denominator between 16 and 4 is 16.
- Convert [tex]\( \frac{1}{4} \)[/tex] to have a denominator of 16:
[tex]\[
\frac{1}{4} = \frac{4}{16}
\][/tex]
5. Performing the Subtraction:
Now subtract [tex]\( \frac{4}{16} \)[/tex] from [tex]\( \frac{7}{16} \)[/tex]:
[tex]\[
\frac{7}{16} - \frac{4}{16} = \frac{3}{16}
\][/tex]
So, the thickness of the texturing on the wall is [tex]\( \frac{3}{16} \)[/tex] of an inch.
Answer: A) [tex]\( \frac{3}{16}" \)[/tex]
1. Wall's Cross-Section Thickness:
The thickness of the cross-section of the wall is given as [tex]\( \frac{7}{16} \)[/tex] of an inch.
2. Drywall Thickness:
The thickness of the drywall is [tex]\( \frac{1}{4} \)[/tex] of an inch.
3. Calculating the Texturing Thickness:
To find the texturing thickness, we subtract the drywall thickness from the total thickness of the wall's cross-section.
[tex]\[
\text{Texturing Thickness} = \frac{7}{16} - \frac{1}{4}
\][/tex]
4. Aligning the Denominators for Subtraction:
To subtract these fractions, we need a common denominator. The least common denominator between 16 and 4 is 16.
- Convert [tex]\( \frac{1}{4} \)[/tex] to have a denominator of 16:
[tex]\[
\frac{1}{4} = \frac{4}{16}
\][/tex]
5. Performing the Subtraction:
Now subtract [tex]\( \frac{4}{16} \)[/tex] from [tex]\( \frac{7}{16} \)[/tex]:
[tex]\[
\frac{7}{16} - \frac{4}{16} = \frac{3}{16}
\][/tex]
So, the thickness of the texturing on the wall is [tex]\( \frac{3}{16} \)[/tex] of an inch.
Answer: A) [tex]\( \frac{3}{16}" \)[/tex]
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