How To Convert Decimals to Fractions

Summary

This video provides a step-by-step guide on how to convert decimals into fractions. It covers examples with various numbers of decimal places, explaining how to simplify the resulting fractions.

Highlights

Converting a Decimal with One Digit00:00:00

To convert a decimal like 0.3, which has one digit to the right of the decimal point, place it over 1 and multiply both the top and bottom by 10. This results in 3/10.

Converting a Decimal with Two Digits00:00:43

For a decimal such as 0.36, which has two digits after the decimal, multiply the top and bottom by 100. This yields 36/100, which can then be reduced by dividing both by 4 to get 9/25.

Converting Decimals with Integers00:01:27

When dealing with decimals like 3.75, which include an integer, multiply by 100/100 to get 375/100. This fraction can be reduced multiple times by dividing by 5, first to 75/20 and then by 5 again to 15/4.

Converting a Decimal with Three Digits00:02:26

To convert 0.284, which has three decimal places, multiply by 1000/1000 to get 284/1000. This fraction can be reduced by repeatedly dividing by 2, first to 142/500 and then to 71/250, as 71 is a prime number.