# Decimal to Fraction Calculator for Converting Decimals to Fractions This online conversion calculator will convert a decimal number into a fraction, and then reduce the resulting fraction into simplest form -- including converting improper fractions to mixed numbers.

Plus, unlike other online conversion calculators, this calculator will show its work and give a detailed step-by-step explanation as to how it arrived at the answer.

## Decimal to Fraction Calculator

Convert decimal number to fraction and show the steps.

#### Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Decimal:Decimal:Decimal number:Non-repeating decimal number:

#### Non-repeating decimal number:

Enter a non-repeating decimal number you would like to convert into a fraction.

 Non-repeating decimal number
Fraction:Fraction:Equivalent fraction:Equivalent fraction:

#### Equivalent fraction:

This is the fraction equivalent to the entered decimal number. Note that after clicking the Convert Decimal to Fraction button the decimal to fraction calculator will display a detailed explanation of how it arrived at the result immediately below this line.

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

## Learn

### How to convert a decimal number into a fraction.

There are several different methods for converting decimals into fractions -- depending on whether or not the decimal number has digits to the left of the decimal point. I'll explain each scenario separately.

#### No Digits to the Left of the Decimal Point

If there are no digits to the left of the decimal point, you can simply restate the decimal number as a fraction. This is done by placing the number to the right of the decimal point as the numerator, and the denominator becomes a 1 followed by the number of zeros equal to the number of digits in the numerator, like this:

Restate 0.625 as a Fraction

 0.625 = 625 1000

Simply fraction if possible:

 625 = 625 ÷ 125 = 5 1000 1000 ÷ 125 8

#### With or Without Digits to Left of Decimal Point

If there are one or more digits to the left of the decimal point (value greater than zero), the easiest way to convert the decimal to a fraction is to simply put the decimal number over the number one, and multiply the top and bottom of the fraction by a number that will cause the numerator to become an integer, like this:

Decimal Over 1 & Multiply Top & Bottom

 3.625 1

Multiply top and bottom to get integer:

 3.625 * 1000 = 3625 1 * 1000 1000

Simply fraction if possible:

 3625 = 3625 ÷ 125 = 28 = 3 5 1000 1000 ÷ 125 8 8

Note that the number you multiply the top and bottom by is always a 1 with the same number of zeros added as the number of top digits. So if the top has 2 digits you would multiply the top and bottom by 100. If the top has 4 digits, you would multiply the top and bottom by 10000, and so on.

#### With Digits to Left of Decimal Point

If there are one or more digits to the left of the decimal point and their value is greater than zero, then the decimal can be restated as a mixed number, and in turn, that mixed number can be converted to a fraction, like this:

Restate Decimal as Mixed Number, Then as Fraction

 3.625 = 3 625 1000

Convert mixed number to fraction:

 3 625 = 1000 * 3 + 625 = 3625 1000 1000 1000

Simply fraction if possible:

 3625 = 3625 ÷ 125 = 28 = 3 5 1000 1000 ÷ 125 8 8

I hope I've explained the conversion process well enough for you to follow the steps. If not, please let me know in the feedback form located beneath the calculator.

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".