Q1. - Algebra 1

Question

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

5%

Step-by-Step Solution

Answer

The simplest form of 5% is $\frac{1}{20}$.

Step 1. Concept of Percentage.

The percent of a number is defined as the ratio of the number and 100.

Step 2. Find the percent of given numbers.

$5\%=\frac{5}{100} \left[\mathrm{Bydefinitionofpercent}\right]$

Step 3. Evaluate the expression.

Write Numerator and denominator in factored form and then cancel out the common factor.

$$\begin{gathered} 5\%=\frac{5}{100} \\ =\frac{5}{5·20} \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}5\right] \\ =\frac{\frac{5}{5}}{\frac{5}{5}·20} \\ =\frac{1}{1·20} \\ =\frac{1}{20} \end{gathered}$$