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In making macaroni and cheese, Porter used $\frac{1}{2}$ of a cup of cheddar and $\frac{3}{5}$ of a cup of parmesan. How much cheese did Porter use in all? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ cups

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Add, subtract, multiply, or divide two fractions: word problems

Full solution

Q. In making macaroni and cheese, Porter used

\frac{1}{2}

of a cup of cheddar and

\frac{3}{5}

of a cup of parmesan. How much cheese did Porter use in all?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

cups

Calculate total cheese amount: Calculate the total amount of cheese used by adding the amounts of cheddar and parmesan. $\newline$ Calculation: $(\frac{1}{2})$ cup of cheddar + $(\frac{3}{5})$ cup of parmesan. $\newline$ To add these fractions, find a common denominator. The least common multiple of $2$ and $5$ is $10$ . $\newline$ Convert $(\frac{1}{2})$ to $(\frac{5}{10})$ and $(\frac{3}{5})$ to $(\frac{6}{10})$ . $\newline$ Now, add $(\frac{5}{10}) + (\frac{6}{10}) = (\frac{11}{10})$ cups.

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