Question
\begin{tabular}{l} Subtract: \( 4 \frac{7}{12}-3 \frac{2}{12} \) \\ O \( 4 \frac{5}{12} \) \\ O \( 4 \frac{1}{12} \) \\ O \( 1 \frac{5}{12} \) \\ \hline \( 1 \frac{1}{12} \)\end{tabular}
Ask by Nunez Chan. in Saudi Arabia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The correct answer is \( 1 \frac{5}{12} \).
Solution
To subtract the mixed numbers \( 4 \frac{7}{12} \) and \( 3 \frac{2}{12} \), follow these steps:
1. **Convert Mixed Numbers to Improper Fractions:**
- \( 4 \frac{7}{12} = \frac{4 \times 12 + 7}{12} = \frac{48 + 7}{12} = \frac{55}{12} \)
- \( 3 \frac{2}{12} = \frac{3 \times 12 + 2}{12} = \frac{36 + 2}{12} = \frac{38}{12} \)
2. **Subtract the Improper Fractions:**
\[
\frac{55}{12} - \frac{38}{12} = \frac{55 - 38}{12} = \frac{17}{12}
\]
3. **Convert the Result Back to a Mixed Number:**
\[
\frac{17}{12} = 1 \frac{5}{12}
\]
**Therefore, the correct answer is \( 1 \frac{5}{12} \).**
From the options provided:
- \( 4 \frac{5}{12} \)
- \( 4 \frac{1}{12} \)
- \( 1 \frac{5}{12} \)
The correct choice is:
**\( 1 \frac{5}{12} \)**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To subtract the mixed numbers \( 4 \frac{7}{12} \) and \( 3 \frac{2}{12} \), you first convert them to improper fractions. 1. \( 4 \frac{7}{12} = \frac{4 \times 12 + 7}{12} = \frac{48 + 7}{12} = \frac{55}{12} \) 2. \( 3 \frac{2}{12} = \frac{3 \times 12 + 2}{12} = \frac{36 + 2}{12} = \frac{38}{12} \) Now, subtract the improper fractions: \[ \frac{55}{12} - \frac{38}{12} = \frac{55 - 38}{12} = \frac{17}{12} \] Next, convert \( \frac{17}{12} \) back to a mixed number: \[ \frac{17}{12} = 1 \frac{5}{12} \] So, the answer is \( 1 \frac{5}{12} \).
