We appreciate your visit to Benton used tex frac 3 4 tex cup of butter to make a batch of cookie dough He rolled his cookie dough out into a. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, Benton needs to determine how much of the cookie dough will contain [tex]\(\frac{1}{4}\)[/tex] cup of butter, given he used [tex]\(\frac{3}{4}\)[/tex] cup of butter in the entire batch. Here's how you can think about it step-by-step:
1. Understand the Total Butter in Dough:
Benton used [tex]\(\frac{3}{4}\)[/tex] cup of butter in the entire batch of cookie dough.
2. Desired Amount of Butter in the Cut Portion:
Benton wants a portion of the dough that contains [tex]\(\frac{1}{4}\)[/tex] cup of butter.
3. Calculate the Fraction of Dough Needed:
To find out what fraction of the entire batch contains [tex]\(\frac{1}{4}\)[/tex] cup of butter, you compare the desired amount of butter to the total butter in the dough.
Calculate the needed fraction:
[tex]\[
\text{Fraction Needed} = \frac{\text{Desired Butter Portion}}{\text{Total Butter}}
\][/tex]
[tex]\[
\text{Fraction Needed} = \frac{\frac{1}{4}}{\frac{3}{4}} = \frac{1}{4} \times \frac{4}{3} = \frac{1}{3}
\][/tex]
4. Conclusion:
Benton should cut [tex]\(\frac{1}{3}\)[/tex] of the cookie dough to get [tex]\(\frac{1}{4}\)[/tex] cup of butter.
Visual Representation:
Imagine the entire dough as a rectangle. If you divide the rectangle into 3 equal parts, cutting one of these parts represents [tex]\(\frac{1}{3}\)[/tex] of the total dough. This [tex]\(\frac{1}{3}\)[/tex] section will contain exactly [tex]\(\frac{1}{4}\)[/tex] cup of butter.
So, a simple way to visualize this is to draw a rectangle and divide it into three equal parts. Each part represents [tex]\(\frac{1}{3}\)[/tex] of the dough, and choosing any one of these parts will give Benton the desired amount of butter in his portion.
1. Understand the Total Butter in Dough:
Benton used [tex]\(\frac{3}{4}\)[/tex] cup of butter in the entire batch of cookie dough.
2. Desired Amount of Butter in the Cut Portion:
Benton wants a portion of the dough that contains [tex]\(\frac{1}{4}\)[/tex] cup of butter.
3. Calculate the Fraction of Dough Needed:
To find out what fraction of the entire batch contains [tex]\(\frac{1}{4}\)[/tex] cup of butter, you compare the desired amount of butter to the total butter in the dough.
Calculate the needed fraction:
[tex]\[
\text{Fraction Needed} = \frac{\text{Desired Butter Portion}}{\text{Total Butter}}
\][/tex]
[tex]\[
\text{Fraction Needed} = \frac{\frac{1}{4}}{\frac{3}{4}} = \frac{1}{4} \times \frac{4}{3} = \frac{1}{3}
\][/tex]
4. Conclusion:
Benton should cut [tex]\(\frac{1}{3}\)[/tex] of the cookie dough to get [tex]\(\frac{1}{4}\)[/tex] cup of butter.
Visual Representation:
Imagine the entire dough as a rectangle. If you divide the rectangle into 3 equal parts, cutting one of these parts represents [tex]\(\frac{1}{3}\)[/tex] of the total dough. This [tex]\(\frac{1}{3}\)[/tex] section will contain exactly [tex]\(\frac{1}{4}\)[/tex] cup of butter.
So, a simple way to visualize this is to draw a rectangle and divide it into three equal parts. Each part represents [tex]\(\frac{1}{3}\)[/tex] of the dough, and choosing any one of these parts will give Benton the desired amount of butter in his portion.
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