We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

Converting Decimals into Fractions

Since a decimal is an abbreviation for a fraction whose denominator is a power of 10, we already know how to do this. We don't even have to dig deep to recall the process. We can dig pretty shallow.

Start with a decimal. For example: 0.456. The number to the right of the decimal point is the numerator of the fraction:

The denominator is the power of 10 with as many zeros as there were decimal places:

Finally, simplify the fraction to tidy things up:

Now, you have a choice when it comes to expressing yourself. You can either say you played video games for 0.456 of the day, or that you played video games for 57/125 of the day. Either way...how about you go outside and toss a football around for a bit? It's such a nice day.