Q31. - Algebra 1

Question

Express each percent as a fraction in the simplest form.

$7.5\%$

Step-by-Step Solution

Answer

The simplest form is $\frac{3}{40}$.

Step 1. The concept of percent.

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

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

To express any number to a fraction that is in percent form, divide that number by 100 and drop that percent sign.

So, the fractional form of 7.5% is given by

$7.5\%=\frac{7.5}{100}$

Step 3. Simplify the fraction.

Now, to simplify further, cancel out the common factors from numerator and denominator as shown below:

$$\begin{gathered} \frac{7.5}{100}=\frac{75}{1000} \\ =\frac{25\cdot 3}{25\cdot 40} \\ =\frac{3}{40} \end{gathered}$$

Therefore, the simplest form is $\frac{3}{40}$.