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 .

**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.