After completing this unit you should be able to:
As you probably know, fractions can always be written as decimals. For example, 1/2 can be written as 0.5. In this section we will give a quick review of converting from fractions to decimals and then from decimals to fractions. Converting from fractions to decimals is fairly easy. Any number written in the form a/b can be converted to a decimal by dividing a by b. For example, if you do the division of 3/4 then you will get .75.
Let's try a quick example of converting a fraction to a decimal.
Express the fraction 5/8 in decimal form.
The fraction 5/8 can be expressed as .625.
To convert a fraction 5/8 to a decimal we need to perform the division:
The fraction 5/8 can be written in the form of: the division of 

Now perform the division of . 
Converting from a decimal to a fraction is more complicated. It requires paying attention to the decimal places. For example, .5 is 5 tenths. This means we have 5 over ten, the fraction 5/10. This fraction can then be reduced to its simplest form of 1/2. If our decimal is 0.05 we read it as 5 hundredths, which would change it to 5 over 100, or 5/100 which simplifies to 1/20. So, to convert a decimal to a fraction you should use the following steps:
Let's try an example of working through these steps.
Express the decimal .045 as a fraction.
The answer is 9/200
The ending of our decimal is thousandths. This means we need to place a 1000 (thousand) in the denominator. 

Now let's try a practice for converting between decimals and fractions.







