Question

a patient is to take $4\frac{4}{5}$ tablespoons of medicine per day in 2 equally divided doses. how much medicine is to be taken in each dose? there are tablespoons of medicine in each dose. (simplify your answer. type a whole number, fraction, or mixed number.)

Explanation:

Step1: Convert mixed - number to improper fraction

First, convert $4\frac{4}{5}$ to an improper fraction. $4\frac{4}{5}=\frac{4\times5 + 4}{5}=\frac{20 + 4}{5}=\frac{24}{5}$.

Step2: Divide by 2

Divide $\frac{24}{5}$ by 2. $\frac{24}{5}\div2=\frac{24}{5}\times\frac{1}{2}=\frac{24\times1}{5\times2}=\frac{24}{10}$.

Step3: Simplify the fraction

Simplify $\frac{24}{10}$ by dividing both the numerator and denominator by their greatest common divisor, which is 2. $\frac{24\div2}{10\div2}=\frac{12}{5}$.

Step4: Convert to mixed - number

Convert $\frac{12}{5}$ to a mixed - number. $12\div5 = 2$ with a remainder of 2. So, $\frac{12}{5}=2\frac{2}{5}$.

Answer:

$2\frac{2}{5}$