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Question
lauren is making pizzas for a pizza party. each pizza requires $\frac{1}{5}$ pound of cheese. how many pounds of cheese does she need to make 6 pizzas? express your answer as a fraction or mixed number in simplest form.
Step1: Identify the operation
To find the total cheese needed, multiply the cheese per pizza by the number of pizzas. So we use the formula: Total cheese = Cheese per pizza × Number of pizzas. Here, cheese per pizza is $\frac{1}{5}$ pound and number of pizzas is 6.
Step2: Perform the multiplication
Multiply $\frac{1}{5}$ by 6. Using the rule of multiplying a fraction by a whole number ($\frac{a}{b} \times c=\frac{a\times c}{b}$), we get $\frac{1\times6}{5}=\frac{6}{5}$.
Step3: Convert to mixed number (optional, but check simplification)
$\frac{6}{5}$ can be written as a mixed number. Divide 6 by 5: 5 goes into 6 once with a remainder of 1. So $\frac{6}{5}=1\frac{1}{5}$. Both $\frac{6}{5}$ and $1\frac{1}{5}$ are in simplest form.
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$\frac{6}{5}$ (or $1\frac{1}{5}$)