Q37. - Algebra 1

Question

Express each percent as a fraction in the simplest form.

6%

Step-by-Step Solution

Answer

The simplest form is $\frac{3}{50}$.

Step 1. concept of percent.

Percent means parts per hundred. It is indicated by symbol %.

Step 2. Express percent as fraction form then simplify it.

To express any number to fraction which is in percent form, divide that number by 100 and drop that percent sign. So, we have

$6\%=\frac{6}{100}$

Step 3. Simplify the fraction.

Now, simplify the fraction further by cancel out the common factors as follows,

$\begin{array}{c}6\%=\frac{6}{100}\\ =\frac{3\cdot 2}{50\cdot 2}\\ =\frac{3}{50}\end{array}$

Therefore, the simplest form is $\frac{3}{50}$.