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How to convert decimal fractions to common fractions. This topic is part of the TCS FREE high school mathematics 'How-to Library'. It shows you how to convert decimal fractions to common fractions. (See the index page for a list of all available topics in the library.)Â To make best use of this topic, you need to download the Algematics software. Click here for instructions.

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### Method:

Use the place value of the last digit after the decimal point to write the decimal as a fraction.

For example, in the decimal fraction: 23.56, the last digit, 6, is in the hundredths place.
So the entire number can be expressed in hundredths as follows:

Â Â Â Â Â Â Â Â Â Â Â To demonstrate this procedure with more steps, enter the decimal number into Algematics as the sum of units, tenths, hundredths and so on, like this:

Â Â Â Â Â Â Â Â Â Â Â We will use this example in the steps below.

#### Step 1 Enter the data

Click Â and type your expression into the maths box in the data entry dialog box.

If the ‘EMPTY’ message is not displayed between the blue buttons, click the Â button until the message: ‘INSERT’ appears.Â  If required, use the ‘ / ’ symbol for divide.

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Â Â Â Â Â Â  Maths...

Â  Â 23.56 = 23 + 5/10 + 6/100

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and then click #### Step 2 Put over a common denominator

Click the Â (common denominator) button to put these terms over a common denominator, like this:

Â Â Â Â Â Â Â Â Â Â Â #### Step 3 Simplify

Click the Â (simplify) button several times until a single fraction is obtained. Clicking Â again will reduce the fraction to its lowest terms, if possible.

 23.56Â Â  simplifies to:Â Â Â