Chapter 0.6, Problem 8E

To determine

To express: the given percentage as a fraction or mixed number in simplest form.

Answer to Problem 8E

  $\frac{1}{250}$

Explanation of Solution

The percentage can be defined as a ratio which compares a no: with hundred. A percentage must be divided by 100 to convert it into fraction.

  $\begin{array}{l}=\frac{0.4\bcancel{\%}}{100\bcancel{\%}}\\ =\frac{0.4}{100}\end{array}$

As the no: is not in the lowest terms, it needs to be simplified.

The greatest common factor between the numerator and denominator is zero point four. Therefore, both of them should be divided by zero point four.

  $\begin{array}{l}=\frac{0.4÷0.4}{100÷0.4}\\ =\frac{1}{250}\end{array}$