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Craig is making sandwiches. He purchased \( \frac{11}{12} \) pound of ham and \( 1 \frac{1}{2} \) pounds of turkey. How many pounds of sandwich meat did he purchase in all? STEP 1: DISSECT THE PROBLEM We know that Crin. 2 Purchedsed \( \sqrt{2} \) ham erlld \( 1 \frac{1}{2} \) of turky. We NEED to find. How much does craig have in all? STEP 2: PICK A STRATEGY Draw a Moodel Wite an favalion

Ask by Franklin Gordon. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Craig purchased a total of \( 2 \frac{5}{12} \) pounds of sandwich meat.

Solution

Sure, let's work through the problem step by step to determine the total pounds of sandwich meat Craig purchased. --- ### **STEP 1: DISSECT THE PROBLEM** **Given:** - **Ham:** \( \frac{11}{12} \) pound - **Turkey:** \( 1 \frac{1}{2} \) pounds **Need to Find:** - **Total pounds of sandwich meat** Craig purchased. --- ### **STEP 2: PICK A STRATEGY** To find the total pounds of sandwich meat, we'll **add** the amount of ham and turkey together. --- ### **STEP 3: EXECUTE THE PLAN** 1. **Convert Mixed Numbers to Improper Fractions (if necessary):** The turkey amount is a mixed number: \( 1 \frac{1}{2} \). \[ 1 \frac{1}{2} = \frac{3}{2} \text{ pounds} \] 2. **Add the Two Quantities:** \[ \frac{11}{12} \text{ (ham)} + \frac{3}{2} \text{ (turkey)} \] 3. **Find a Common Denominator:** The denominators are 12 and 2. The least common denominator (LCD) is 12. Convert \( \frac{3}{2} \) to twelfths: \[ \frac{3}{2} = \frac{3 \times 6}{2 \times 6} = \frac{18}{12} \] 4. **Add the Fractions:** \[ \frac{11}{12} + \frac{18}{12} = \frac{11 + 18}{12} = \frac{29}{12} \text{ pounds} \] 5. **Convert Back to a Mixed Number (Optional):** \[ \frac{29}{12} = 2 \frac{5}{12} \text{ pounds} \] --- ### **STEP 4: STATE THE ANSWER** Craig purchased a **total of \( 2 \frac{5}{12} \) pounds** of sandwich meat. --- ### **SUMMARY** - **Ham:** \( \frac{11}{12} \) pound - **Turkey:** \( 1 \frac{1}{2} = \frac{3}{2} \) pounds - **Total Meat:** \( \frac{11}{12} + \frac{3}{2} = \frac{29}{12} = 2 \frac{5}{12} \) pounds Craig has **2 and \( \frac{5}{12} \) pounds** of sandwich meat in all.

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The Deep Dive

To find the total weight of sandwich meat Craig purchased, we need to add the two amounts together. First, let's convert \(1 \frac{1}{2}\) pounds of turkey into an improper fraction. It equals \(\frac{3}{2}\) pounds. Now, we can add \(\frac{11}{12}\) (ham) and \(\frac{3}{2}\) (turkey). To do this, we need a common denominator, which would be 12. Convert \(\frac{3}{2}\) into twelfths: \(\frac{3 \times 6}{2 \times 6} = \frac{18}{12}\). Finally, add \(\frac{11}{12}\) and \(\frac{18}{12}\) to get \(\frac{29}{12}\), which is \(2 \frac{5}{12}\) pounds of meat in total. When it comes to real-world application, this type of problem is commonly encountered in cooking, meal planning, or catering services. Understanding how to work with fractions helps not just in cooking but also in budgeting ingredients for events or restaurants, ensuring there's enough to serve everyone without wastage or running short. Plus, knowing how to accurately measure can save a lot of time and hassle! One common mistake when dealing with fractions is forgetting to find a common denominator before adding or subtracting. This can lead to incorrect answers and confusion. Another tip is to always double-check your conversions—especially converting mixed numbers to improper fractions—and ensure that all fractions are simplified at the end. It’s the little details that can make or break a delicious sandwich!

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