Mathematical 12 Use Number Sense Write and solve a PRACTICE real-world problem involving the multiplication of a fraction and a whole number whose product is between 10 and 15 .

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**Problem:**  
A local bakery uses $$\frac{3}{4}$$ cup of sugar to make one batch of frosting. If the bakery makes 14 batches in a day, how many cups of sugar are used in total? The product should be between 10 and 15.

**Step 1: Write the mathematical expression**  
The total amount of sugar used is calculated by multiplying the fraction of a cup per batch by the total number of batches. This gives us:  
$$
\frac{3}{4} \times 14
$$

**Step 2: Multiply the fraction and the whole number**  
To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the denominator the same. Here, we have:  
$$
\frac{3 \times 14}{4}
$$

**Step 3: Compute the multiplication**  
Calculate the numerator:  
$$
3 \times 14 = 42
$$  
So the expression becomes:  
$$
\frac{42}{4}
$$

**Step 4: Simplify the fraction**  
Divide the numerator by the denominator:  
$$
\frac{42}{4} = 10.5
$$

**Step 5: Interpret the result**  
The bakery uses $$10.5$$ cups of sugar for 14 batches of frosting. This result is between 10 and 15, as required.
The bakery uses 10.5 cups of sugar for 14 batches of frosting.

Mathematical 12 Use Number Sense Write and solve a PRACTICE real-world problem involving the multiplication of a fraction and a whole number whose product is between 10 and 15 .

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