Q7. - Algebra 1

Question

Express the following percent as a fraction or mixed number in simplest form.

0.6%

Step-by-Step Solution

Answer

The simplest form of 0.6% is $\frac{3}{500}$.

Step 1. Concept of Percentage.

Percent of a number is defined as the ratio of the number and 100.

Step 2. Find the percent of given numbers.

$0.6\%=\frac{0.6}{100} \left[\mathrm{Bydefinitionofpercent}\right]$

Step 3. Evaluate the expression.

First remove the decimal from numerator and then cancel out the common factor from numerator and denominator.

$$\begin{gathered} 0.6\%=\frac{0.6}{100} \\ =\frac{0.6\times 10}{100\times 10} \left[\mathrm{multiplyN}\&\mathrm{Dby}10\mathrm{forremovingdecimal}\right] \\ =\frac{6}{1000} \\ =\frac{2·3}{2·500} \left[\mathrm{multiplyN}\&\mathrm{Dbycommonfactor}2\right] \\ =\frac{\frac{2}{2}·3}{\frac{2}{2}·500} \\ =\frac{1·3}{1·500} \\ =\frac{3}{500} \end{gathered}$$