Question
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Tutor-Verified Answer
Answer
The result is \( \frac{5}{3} \).
Solution
1. Convert the mixed number to an improper fraction:
\[
3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
\]
2. Multiply the fractions:
\[
\frac{10}{3} \times \frac{1}{2} = \frac{10 \times 1}{3 \times 2} = \frac{10}{6}
\]
3. Simplify the fraction by dividing the numerator and the denominator by \(2\):
\[
\frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3}
\]
Thus, the result is:
\[
\frac{5}{3}
\]
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Simplify this solution Bonus Knowledge
To solve \( 3 \frac{1}{3} \times \frac{1}{2} \), first convert the mixed number to an improper fraction. \( 3 \frac{1}{3} \) becomes \( \frac{10}{3} \). Now, multiply by \( \frac{1}{2} \): \[ \frac{10}{3} \times \frac{1}{2} = \frac{10 \times 1}{3 \times 2} = \frac{10}{6} \] Simplifying \( \frac{10}{6} \) gives us \( \frac{5}{3} \) or \( 1 \frac{2}{3} \). So the answer is \( 1 \frac{2}{3} \). Now, remember that when multiplying fractions, you can simplify before multiplying! If you notice that both fractions can be simplified, it's often easier and saves you some calculation time. Always look for opportunities to make your life easier in math!
