Question
Add Mlxed Numbers Find the sum. \[ \begin{array}{r} 3 \frac{4}{12} \\ +\quad 2 \frac{6}{12} \\ \hline \end{array} \] \( 5 \frac{6}{12} \) \( 5 \frac{10}{24} \) \( 5 \frac{10}{12} \) \( 6 \frac{10}{12} \)
Ask by Howell Sherman. in Saudi Arabia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum is \( 5 \frac{10}{12} \).
Solution
To add the mixed numbers \( 3 \frac{4}{12} \) and \( 2 \frac{6}{12} \), follow these steps:
1. **Add the whole numbers:**
\[
3 + 2 = 5
\]
2. **Add the fractional parts:**
\[
\frac{4}{12} + \frac{6}{12} = \frac{10}{12}
\]
3. **Combine the results:**
\[
5 + \frac{10}{12} = 5 \frac{10}{12}
\]
So, the sum of \( 3 \frac{4}{12} \) and \( 2 \frac{6}{12} \) is:
\[
\boxed{5 \frac{10}{12}}
\]
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Mind Expander
To add mixed numbers, start by adding the whole numbers. Here, 3 and 2 sum up to 5. Next, add the fractional parts: \(\frac{4}{12} + \frac{6}{12} = \frac{10}{12}\). Combine the whole number with the numerator over the same denominator to get \(5 \frac{10}{12}\). If you find that the fraction can be simplified, it’s a good time to review! In this case, \(\frac{10}{12}\) can be simplified to \(\frac{5}{6}\), giving you a final answer of \(5 \frac{5}{6}\) if needed. This highlights the importance of always simplifying fractions for clarity!