Questions: Multiply. Simplify your answer. 1 1/3 · 5

Multiply. Simplify your answer. 1 1/3 · 5
Transcript text: Multiply. Simplify your answer. \[ 1 \frac{1}{3} \cdot 5 \]
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Solution

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Solution Steps

To solve the problem of multiplying a mixed number by a whole number, we first convert the mixed number to an improper fraction. Then, we multiply the improper fraction by the whole number and simplify the result if possible.

Step 1: Convert the Mixed Number to an Improper Fraction

The mixed number \( 1 \frac{1}{3} \) can be converted to an improper fraction as follows: \[ 1 \frac{1}{3} = 1 + \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3} \]

Step 2: Multiply the Improper Fraction by the Whole Number

Next, we multiply the improper fraction \( \frac{4}{3} \) by the whole number \( 5 \): \[ \frac{4}{3} \cdot 5 = \frac{4 \cdot 5}{3} = \frac{20}{3} \]

Step 3: Simplify the Result

The result \( \frac{20}{3} \) is already in its simplest form, as there are no common factors between the numerator and the denominator.

Final Answer

The final result of the multiplication is \[ \boxed{\frac{20}{3}} \]

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