Decimal to fraction conversion
numbers can be expressed as a fraction. Decimal to fraction conversion
is usually a two-step operation.
- First, convert
the decimal to fraction using tenths, hundredths, thousandths,
etc. depending on the number of decimal places. e.g. 1.75 = 1 75/100.
- Next, simplify the fraction part to the lowest common
75/100 = 3/4.
Converting a decimal to a fraction
Decimals are fractions that have powers of ten as their denominators. Or, to say another way, they have 10, 100, 1000, and so on as the bottom number of the fraction.
The examples below show decimals can be shown as common fractions.
|We write as a decimal ||We read, or say ||We write as a common fraction |
|.||3|| || ||three tenths |
|.||7|| || ||seven tenths|
|.||2||3|| ||twenty-three hundredths |
|.||6||1|| ||sixty-one hundredths |
|.||5||9||7||five hundred ninety-seven thousandths |
|.||4||3||4||four hundred thirty-nine thousandths |
Writing the common fraction in simplest form
Common fractions are usually written in simplest form. Sometimes this is also called writing fractions using the lowest terms. You'll find more about how to simplify fractions here.
Simplifying fractions: using common factors
To simplify a common fraction we find the greatest common factor for the numerator and the denominator and then use it to divide both. The steps below show an example of how to do this:
|1 , 2 , 4 |
|64 ÷ 4 = 16 |
|100 ÷ 4 = 25 |
The worksheets below will help with changing between fractions and decimals.
You can try this decimals and percentages as fractions game for a little educational fun.
Working with the chart and worksheets
Practicing decimal to fraction conversion with the worksheets and
Chart is a good way for your child to reinforce their understanding
of the concept. Print these resources using the Print button on each
document or by using your web browsers print function.