Converting a Percent to a Fraction
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Skills Application: Converting a Percent to a Fraction
Step-by-Step: Converting a Percent to a Fraction
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In manufacturing quality control, the maximum amount of reject work pieces are often expressed in percent form, such as 5%. Technicians need to convert this percent to a fraction to calculate the maximum number of rejects on a 1500-piece production run.

Converting a Percent
to a Fraction

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3. Our Training Worksheets
A percentage is a fraction. What makes it special is that the denominator is always 100. Changing a percent to fraction format is done in 3 steps:
Change Percent to Fraction:
  1. Drop the percent sign, keep the number.
  2. Set the percentage number as a numerator over a denominator. The denominator is always 100.
  3. Simplify your fraction as necessary.

A Short Review

Example 1:
\[\text{14% = }\frac{14}{100}=\color{green}{\frac{7}{50}}\]
  1.   14 becomes the numerator
  2.    The % sign becomes a denominator of 100
  3.    Reduce fraction by a factor of 2 since both the 14 and the 100 are even numbers, so they divide by 2
 Example 2:
\[\text{2.5% = }\frac{2.5}{100}=\frac{5}{200}=\color{green}{\frac{1}{40}}\]
  1.    2.5 becomes the numerator
  2.    The % sign becomes a denominator of 100
  3.    There can not be a decimal numerator. The 2.5 needs to be doubled to become a whole number. The same doubling is to be done to the denominator of 100, which becomes 200.
  4.     Reduce fraction by a factor of 5 since both the 5 and the 200 are divisible by 5.

GetMath Worksheet Level1 novertspaac

Worksheet: Level 1

The operations used are clearly specified. Only one type of mathematical operation is used in a task.

Worksheet: Level 1 Sample Question

On an instrument panel key pad 90% of the buttons are gray. Write a fraction to show this, reduce fraction to lowest terms.

Worksheet: Level 1 Answer Key


Download Worksheet: Level 1

GetMath Worksheet Level2 novertspaac

Worksheet: Level 2

Tasks involve one or two types of mathematical operation. Few steps of calculation are required.

Worksheet: Level 2 Sample Question

Write as a fraction in lowest terms:
25% = ?

Worksheet: Level 2 Sample Answer

25% = 

Download Worksheet: Level 2

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