Questions: A recipe uses 2/8 cup of American cheese and 4/8 cup of cheddar cheese. How many more cups of cheddar cheese does the recipe use than American cheese? Enter your answer in the boxes as a fraction in simplest form. cup
Transcript text: A recipe uses $\frac{2}{8}$ cup of American cheese and $\frac{4}{8}$ cup of cheddar cheese. How many more cups of cheddar cheese does the recipe use than American cheese? Enter your answer in the boxes as a fraction in simplest form. $\square$ cup
Solution
Solution Steps
Step 1: Identify the Fractions
The problem provides two fractions:
American cheese: \(\frac{2}{8}\) cup
Cheddar cheese: \(\frac{4}{8}\) cup
Step 2: Simplify the Fractions
First, simplify each fraction to its simplest form:
\(\frac{2}{8} = \frac{1}{4}\)
\(\frac{4}{8} = \frac{1}{2}\)
Step 3: Subtract the Fractions
To find out how many more cups of cheddar cheese are used than American cheese, subtract the fraction for American cheese from the fraction for cheddar cheese:
\[
\frac{1}{2} - \frac{1}{4}
\]
To subtract these fractions, find a common denominator. The common denominator of 2 and 4 is 4.
Convert \(\frac{1}{2}\) to \(\frac{2}{4}\):
\[
\frac{2}{4} - \frac{1}{4} = \frac{1}{4}
\]
Final Answer
The recipe uses \(\boxed{\frac{1}{4}}\) cup more cheddar cheese than American cheese.