Q38. - Algebra 1

Question

Express each percent as a fraction in the simplest form.

$40\%$

Step-by-Step Solution

Answer

The simplest form is $\frac{7}{5}$.

Step 1. 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 which is in percent form, divide that number by 100 and drop that percent sign.

$140\%=\frac{140}{100}$

Step 3. Simplify the fraction.

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

$\begin{array}{c}140\%=\frac{140}{100}\\ =\frac{7\cdot 20}{5\cdot 20}\\ =\frac{7}{5}\end{array}$

Therefore, the simplest form is $\frac{7}{5}$.