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

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.

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

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

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