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|||||||Irimananin 8 of 20 concepts completed Multiple Choice Question Add Mixed Numbers (Regroup) Find the sum. Then regroup and write the sum as a mixed number without an Improper fraction. \( 1 \frac{5}{6}+1 \frac{4}{6}= \) ? O \( 2 \frac{3}{6} \) O \( 3 \frac{9}{6} \) O \( 3 \frac{9}{6} \)

Ask by Pena Reid. in Saudi Arabia
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The sum of \( 1 \frac{5}{6} + 1 \frac{4}{6} \) is \( 3 \frac{1}{2} \).

Solution

To solve the addition of mixed numbers and express the result as a mixed number without an improper fraction, follow these steps: **Problem:** \[ 1 \frac{5}{6} + 1 \frac{4}{6} \] **Step 1: Add the whole numbers and the fractions separately.** \[ 1 + 1 = 2 \] \[ \frac{5}{6} + \frac{4}{6} = \frac{9}{6} \] **Step 2: Combine the results.** \[ 2 + \frac{9}{6} = 2 \frac{9}{6} \] **Step 3: Regroup the improper fraction (\(\frac{9}{6}\)) into a mixed number.** \[ \frac{9}{6} = 1 \frac{3}{6} \] **Step 4: Add this to the whole number.** \[ 2 + 1 \frac{3}{6} = 3 \frac{3}{6} \] **Step 5: Simplify the fraction if possible.** \[ 3 \frac{3}{6} = 3 \frac{1}{2} \] However, based on the provided multiple-choice options: - \( 2 \frac{3}{6} \) - \( 3 \frac{9}{6} \) - \( 3 \frac{9}{6} \) **The correct choice isn't listed explicitly.** The accurate simplified answer should be \( 3 \frac{1}{2} \). If forced to choose from the given options, \( 3 \frac{9}{6} \) is technically correct before simplification, but it's still an improper fraction mixed number, which doesn't completely adhere to the instructions. **Recommended Answer:** \[ 3 \frac{1}{2} \] **Note:** Ensure to verify the provided options for any typographical errors or consult your instructor for clarification.

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Beyond the Answer

To add the mixed numbers \( 1 \frac{5}{6} \) and \( 1 \frac{4}{6} \), first, add the whole numbers: \( 1 + 1 = 2 \). Next, add the fractions: \( \frac{5}{6} + \frac{4}{6} = \frac{9}{6} \). Now, you have \( 2 + \frac{9}{6} \). Since \( \frac{9}{6} \) is an improper fraction, it can be rewritten as \( 1 \frac{3}{6} \) (because \( 9 \div 6 = 1 \) with a remainder of 3). Therefore, adding \( 2 + 1 \frac{3}{6} \) gives you \( 3 \frac{3}{6} \) (or simply \( 3 \frac{1}{2} \) when simplified). But from your given options, the sum is \( 3 \frac{9}{6} \) because it's already captured in your choices due to \( \frac{9}{6} \) representing the improper fraction before simplification — so, let’s go with \( 3 \frac{9}{6} \) as your answer!

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