Question
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Answer
The final answer is \( \frac{4}{3} \) or \( 1 \frac{1}{3} \).
Solution
1. Convert the mixed number to an improper fraction:
\[
5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{16}{3}
\]
2. Multiply the fractions:
\[
\frac{16}{3} \times \frac{1}{4} = \frac{16 \times 1}{3 \times 4} = \frac{16}{12}
\]
3. Simplify the fraction by dividing the numerator and denominator by 4:
\[
\frac{16}{12} = \frac{16 \div 4}{12 \div 4} = \frac{4}{3}
\]
Thus, the final answer is:
\[
\frac{4}{3} \quad \text{or} \quad 1 \frac{1}{3}
\]
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Simplify this solution Extra Insights
To solve \( 5 \frac{1}{3} \cdot \frac{1}{4} \), we first convert the mixed number \( 5 \frac{1}{3} \) into an improper fraction. This gives us \( \frac{16}{3} \) since \( 5 \times 3 + 1 = 16 \). Now, we multiply: \[ \frac{16}{3} \cdot \frac{1}{4} = \frac{16 \cdot 1}{3 \cdot 4} = \frac{16}{12}. \] This can be simplified to \( \frac{4}{3} \) or \( 1 \frac{1}{3} \). There you have it! Want a quick tip? Always remember to simplify your fractions after multiplication! It makes the final answer cleaner and easier to understand. Common mistakes often include forgetting to convert mixed numbers properly or skipping the simplification step, so double-check your work!
