A cookie factory uses $\frac{3}{8}$ of a barrel of oatmeal in each batch of cookies. The factory used $\frac{3}{4}$ of a barrel of oatmeal yesterday. How many batches of cookies did the factory make? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ batches

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Q. A cookie factory uses

\frac{3}{8}

of a barrel of oatmeal in each batch of cookies. The factory used

\frac{3}{4}

of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?

\newline

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

\newline

_____ batches

Identify oatmeal amounts: Step $1$ : Identify the total oatmeal used and the amount per batch. $\newline$ Total oatmeal used: $\frac{3}{4}$ barrel. $\newline$ Oatmeal per batch: $\frac{3}{8}$ barrel. $\newline$ We need to divide the total oatmeal used by the amount used per batch to find the number of batches. $\newline$ Calculation: $(\frac{3}{4}) \div (\frac{3}{8})$
Calculate number of batches: Step $2$ : Perform the division to find the number of batches. $\newline$ Using the property of division of fractions, $(a/b) \div (c/d) = (a/b) \times (d/c)$ . $\newline$ Here, $(3/4) \div (3/8) = (3/4) \times (8/3) = 24/12 = 2$ .