Bowman Hampton
05/18/2023 · Senior High School
A pizza restaurant had \( 1 / 2 \) of a gallon of pizza sauce left at the end of the evening and divided it equally among 5 pizzas. How much sauce did they put on each pizza? Write your answer as a fraction or as a whole or mixed number.
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Tutor-Verified Answer
Step-by-step Solution
To find out how much pizza sauce was put on each pizza, we need to divide the total amount of sauce, which is \( \frac{1}{2} \) gallon, by the number of pizzas, which is 5.
We can set up the division as follows:
\[
\text{Amount of sauce per pizza} = \frac{1/2}{5}
\]
Dividing a fraction by a whole number can be done by multiplying the fraction by the reciprocal of the whole number. The reciprocal of 5 is \( \frac{1}{5} \). Therefore, we can rewrite the division as:
\[
\frac{1/2}{5} = \frac{1}{2} \times \frac{1}{5}
\]
Now, we multiply the fractions:
\[
\frac{1 \times 1}{2 \times 5} = \frac{1}{10}
\]
Thus, the amount of sauce put on each pizza is
\[
\frac{1}{10} \text{ gallon}.
\]
Quick Answer
Each pizza got \( \frac{1}{10} \) gallon of sauce.
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