Mcdonald Kirk
04/06/2023 · Senior High School
11. \( 8-4 \frac{1}{3}=\ldots-\ldots--- \) Tvoe a response
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Tutor-Verified Answer
Step-by-step Solution
To solve the expression \( 8 - 4 \frac{1}{3} \), we first need to convert the mixed number \( 4 \frac{1}{3} \) into an improper fraction.
1. Convert \( 4 \frac{1}{3} \) to an improper fraction:
\[
4 \frac{1}{3} = 4 + \frac{1}{3} = \frac{4 \times 3}{3} + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{13}{3}
\]
2. Now, we can rewrite the expression:
\[
8 - 4 \frac{1}{3} = 8 - \frac{13}{3}
\]
3. To perform the subtraction, we need to express \( 8 \) as a fraction with a denominator of \( 3 \):
\[
8 = \frac{8 \times 3}{3} = \frac{24}{3}
\]
4. Now we can subtract:
\[
\frac{24}{3} - \frac{13}{3} = \frac{24 - 13}{3} = \frac{11}{3}
\]
Thus, the final answer is:
\[
8 - 4 \frac{1}{3} = \frac{11}{3}
\]
Quick Answer
\( 8 - 4 \frac{1}{3} = \frac{11}{3} \)
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