Question

the weight of a liquid medication in a vial is $\frac{7}{10}$ fl. oz. if $\frac{1}{5}$ fl. oz. is removed, how much liquid medication remains in the vial? 1. $\frac{6}{5}$ fl. oz. 2. $\frac{1}{2}$ fl. oz. 3. the vial will be empty 4. $\frac{3}{5}$ fl. oz.

Explanation:

Step1: Find a common denominator

The common - denominator of 10 and 5 is 10. Rewrite $\frac{1}{5}$ with a denominator of 10. Since $\frac{1}{5}=\frac{1\times2}{5\times2}=\frac{2}{10}$.

Step2: Subtract the fractions

We start with $\frac{7}{10}$ fl. oz. and remove $\frac{2}{10}$ fl. oz. The remaining amount is $\frac{7}{10}-\frac{2}{10}=\frac{7 - 2}{10}=\frac{5}{10}$.

Step3: Simplify the fraction

Simplify $\frac{5}{10}$ by dividing both the numerator and denominator by 5. $\frac{5\div5}{10\div5}=\frac{1}{2}$ fl. oz.

Answer:

1. $\frac{1}{2}$ fl. oz.