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A factory uses
1//8 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used
1//2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

A factory uses $\frac{1}{8}$ of a barrel of raisins in each batch of granola bars. Yesterday, the factory used $\frac{1}{2}$ of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

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Divide fractions and mixed numbers: word problems

Full solution

Q. A factory uses

\frac{1}{8}

of a barrel of raisins in each batch of granola bars. Yesterday, the factory used

\frac{1}{2}

of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Identify Raisin Amount: Step $1$ : Identify the amount of raisins used per batch and the total amount used yesterday. $\newline$ - Amount used per batch = $\frac{1}{8}$ barrel $\newline$ - Total amount used yesterday = $\frac{1}{2}$ barrel
Calculate Batches Made: Step $2$ : Calculate the number of batches made by dividing the total amount used by the amount used per batch. $\newline$ - Number of batches = $(\text{Total amount used}) \div (\text{Amount per batch})$ $\newline$ - Number of batches = $(\frac{1}{2}) \div (\frac{1}{8})$ $\newline$ - Number of batches = $\frac{1}{2} \times \frac{8}{1} = 4$

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