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multiply: $5 \\times \\frac{1}{3}$ provide an answer as a simplified fr…

Question

multiply: $5 \times \frac{1}{3}$ provide an answer as a simplified fraction or mixed number.

Explanation:

Step1: Recall the rule for multiplying an integer by a fraction.

To multiply an integer \( a \) by a fraction \( \frac{b}{c} \), we use the formula \( a\times\frac{b}{c}=\frac{a\times b}{c} \). Here, \( a = 5 \), \( b = 1 \), and \( c = 3 \).

Step2: Apply the formula.

Substitute the values into the formula: \( 5\times\frac{1}{3}=\frac{5\times1}{3}=\frac{5}{3} \). We can also write \( \frac{5}{3} \) as a mixed number. Since \( 5\div3 = 1 \) with a remainder of \( 2 \), \( \frac{5}{3}=1\frac{2}{3} \).

Answer:

\( \frac{5}{3} \) (or \( 1\frac{2}{3} \))