Decimals to fractions


When converting decimals to fractions, it may be useful to understand the technique used to convert numbers to scientific notation. Review then scientific notation before starting this lesson.

By all means, do not start this lesson before reviewing scientific notation because that is the technique I am going to use.

Let's start with an example:

Convert 0.06 to a fraction

0.06 = 6 × 10-2

Now, what is 10-2 equal to ?

Pay close attention to the following demonstration:

10^(-2) to fraction form
Why 100 = 1 ? Stay tune! I will put it in a different lesson. Just accept this fact for now. Since 0.06 = 6 × 10-2 , we get the following:
0.06 written as a fraction
Other examples:

1) 0.014

Follow all the steps above. In the end, you should get

0.014 written as a fraction
2) 0.10252

0.10252 written as a fraction
Test your knowledge with the quiz below:





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