Question

Write the fraction 1/8 as a percent. Round to the nearest hundredth of a percent where necessary. A. 12.50% B. 37.50% C. 62.50 % D. 80.00%

Answer 1

12.50 % (option A)

Step-by-step explanation:

To convert a fraction as a percent, we will multiply the fraction by 100:

`\begin{gathered} \frac{1}{8\text{ }}\text{ as a percent}\colon \\ (1)/(8)\text{ }*\text{ 100 = }(100)/(8) \end{gathered}`
`\begin{gathered} \text{Divide the numerator and denominator by 4:} \\ (100)/(4)\text{ = 25} \\ (8)/(4)\text{ = 2} \\ (100)/(8)\text{ = }(25)/(2) \\ (25)/(2)\text{ = 12 }\frac{1}{2\text{ }} \\ \\ Since\text{ it is percent, a percent sign is attached:} \\ (100)/(8)=\text{12 }\frac{1}{2\text{ }}\text{ \%} \end{gathered}`
`\begin{gathered} To\text{ decimal:} \\ (100)/(8)\text{ = 12.5\% (option A)} \end{gathered}`