Questions: A bottle of medicine contains 30 doses. How many doses are in 1 2/3 bottles? There are doses in 1 2/3 bottles. (Type a whole number or a simplified fraction.)

Solution Steps

To find the total number of doses in $1 \frac{2}{3}$ bottles, first convert the mixed number to an improper fraction. Then, multiply the number of doses in one bottle by this improper fraction to get the total number of doses.

The mixed number $1 \frac{2}{3}$ can be converted to an improper fraction. This is done by multiplying the whole number by the denominator of the fraction and adding the numerator: $$1 \frac{2}{3} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3}$$

To find the total number of doses in $1 \frac{2}{3}$ bottles, multiply the number of doses in one bottle by the improper fraction: $$\text{Total doses} = 30 \times \frac{5}{3} = 50$$

Final Answer