Question
Solve the problem. \[ \begin{array}{r} 7 \frac{5}{12} \\ -\quad 5 \frac{4}{12} \\ \hline \end{array} \] \( 3 \frac{2}{12} \) \( 2 \frac{3}{12} \) \( 1 \frac{1}{12} \) \( 2 \frac{1}{12} \)
Ask by Bates Munoz. in Saudi Arabia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \( 2 \frac{1}{12} \).
Solution
To solve the subtraction problem:
\[
\begin{array}{r}
7 \frac{5}{12} \\
-\quad 5 \frac{4}{12} \\
\hline
\end{array}
\]
**Step 1: Subtract the whole numbers.**
\[ 7 - 5 = 2 \]
**Step 2: Subtract the fractional parts.**
\[ \frac{5}{12} - \frac{4}{12} = \frac{1}{12} \]
**Combine the results:**
\[ 2 \frac{1}{12} \]
**Final Answer:**
\( 2 \frac{1}{12} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve \( 7 \frac{5}{12} - 5 \frac{4}{12} \), we first convert these mixed numbers into improper fractions. 1. Convert \( 7 \frac{5}{12} \): \[ 7 \frac{5}{12} = \frac{7 \times 12 + 5}{12} = \frac{84 + 5}{12} = \frac{89}{12} \] 2. Convert \( 5 \frac{4}{12} \): \[ 5 \frac{4}{12} = \frac{5 \times 12 + 4}{12} = \frac{60 + 4}{12} = \frac{64}{12} \] Now, subtract the two improper fractions: \[ \frac{89}{12} - \frac{64}{12} = \frac{89 - 64}{12} = \frac{25}{12} \] Now, convert \( \frac{25}{12} \) back into a mixed number: \[ \frac{25}{12} = 2 \frac{1}{12} \] So, the final answer is \( 2 \frac{1}{12} \).
