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Lesson \( 10-7 \) Exit Ticket Name ElkKilkal \( \begin{array}{ll}\text { 1. What is the product? } \\ 5 \frac{1}{4} \times 2 \frac{1}{3}=\text { ? } \\ \text { A. } 10 \frac{1}{12} & \text { B. } 12 \frac{3}{12} \\ \text { C. } 7 \frac{7}{12} & \text { D. } 12 \frac{1}{12} \\ \text { 2. What is the area of the rectangle? }\end{array} \)

Ask by Pierce George. in the United States
Feb 03,2025

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**Exit Ticket Answers** **Name:** ElkKilkal --- **1. What is the product?** \[ 5 \frac{1}{4} \times 2 \frac{1}{3} = \,? \] **Options:** - **A.** \( 10 \frac{1}{12} \) - **B.** \( 12 \frac{3}{12} \) - **C.** \( 7 \frac{7}{12} \) - **D.** \( 12 \frac{1}{12} \) **Answer:** **B.** \( 12 \frac{3}{12} \) --- **2. What is the area of the rectangle?** *Not enough information provided to determine the area.* **Answer:** Cannot determine the area with the given information. ---

Solución

**Exit Ticket Answers** **Name:** ElkKilkal --- **1. What is the product?** \[ 5 \frac{1}{4} \times 2 \frac{1}{3} = \,? \] **Options:** - **A.** \( 10 \frac{1}{12} \) - **B.** \( 12 \frac{3}{12} \) - **C.** \( 7 \frac{7}{12} \) - **D.** \( 12 \frac{1}{12} \) **Solution:** 1. **Convert mixed numbers to improper fractions:** \[ 5 \frac{1}{4} = \frac{21}{4} \quad \text{and} \quad 2 \frac{1}{3} = \frac{7}{3} \] 2. **Multiply the improper fractions:** \[ \frac{21}{4} \times \frac{7}{3} = \frac{147}{12} \] 3. **Simplify the fraction:** \[ \frac{147}{12} = 12 \frac{3}{12} = 12 \frac{1}{4} \] 4. **Compare with the options:** - \( 12 \frac{3}{12} \) simplifies to \( 12 \frac{1}{4} \), which matches our result. **Answer:** **B.** \( 12 \frac{3}{12} \) --- **2. What is the area of the rectangle?** *Unfortunately, there is not enough information provided (such as the length and width of the rectangle) to calculate the area. Please provide the necessary dimensions.* --- If you have any additional information or need further assistance with problem 2, feel free to ask!

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To find the product of \( 5 \frac{1}{4} \times 2 \frac{1}{3} \), first convert the mixed numbers into improper fractions. So, \( 5 \frac{1}{4} = \frac{21}{4} \) and \( 2 \frac{1}{3} = \frac{7}{3} \). Multiply these together: \[ \frac{21}{4} \times \frac{7}{3} = \frac{147}{12} \] Now, convert \( \frac{147}{12} \) back into a mixed number: \[ 147 ÷ 12 = 12 \text{ remainder } 3 \] So, \( \frac{147}{12} = 12 \frac{3}{12} \) or simplified to \( 12 \frac{1}{4} \). Therefore, the closest answer isn't among your choices, unless \( D \) represents that equivalent value. Next, let’s talk about finding the area of a rectangle, which is done by multiplying the length by the width. If you're given specific dimensions (for example, length = 6 units and width = 4 units), you would calculate the area as \( 6 \times 4 = 24 \) square units. If you have different dimensions or need to find the area from a set problem, just remember: Always check your units and if they match up before you multiply!

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