Fraction to Decimal Calculator for Converting Fractions to Decimals

Fraction to Decimal Calculator Sign

This conversion calculator will reduce fractions and mixed numbers into simplest form and then convert the simplified fraction into a decimal number.

Plus, unlike other online conversion calculators, this calculator will show its work -- including the fraction reduction it performed, as well as the long division you would use for converting fractions into decimals manually.

If you would like to use a calculator for converting decimals into fractions, please visit the convert decimals to fractions calculator.

Also, be sure to check out my other online fraction calculators for:

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Fraction to Decimal Calculator

Convert fraction to decimal number, complete with a dynamically generated tutorial.

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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
Whole number:Whole number:Whole number if mixed number:Whole number if converting a mixed number:

Whole number:

If you are converting a mixed number to a decimal number, enter the whole number portion of the mixed number on this line. For example, if the mixed number is 1-3/4, enter the 1 in the field on this line.

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Numerator:

Numerator:

Enter the top number of the fraction to be converted into a decimal.

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Denominator:

Denominator:

Enter the bottom number of the fraction to be converted into a decimal.

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Reduced:Simplified:Fraction in simplest form:Fraction in simplest form:

Fraction in simplest form:

This is the entered fraction after reducing the fraction into simplest form. Note that the fraction to decimal calculator will show its reduction work in a space below the calculator. If the numerator and denominator have no common factors other than 1, this field will simply display your original entry.

Decimal:Decimal:Decimal equivalent:Decimal equivalent of reduced fraction:

Decimal equivalent of reduced fraction:

This is the decimal equivalent of the entered fraction after it was reduced into simplest form. The fraction to decimal calculator will display the long division you would use if you were to use the manual method of converting fractions into decimals. Note that if the result is a long decimal number and/or has repeating elements, the result can only be considered to be a close estimation.

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.

Help and Tools

Learn

How to convert a fraction into a decimal number.

Steps for Converting Fractions to Decimals

If you are using a hand-held calculator, you simply divide the top number by the bottom number to get the decimal equivalent.

On the other hand, if you are doing the conversion manually on a worksheet, you can save time by first reducing the fraction into simplest form.

For example, suppose you would like to convert the fraction 40/25 into a decimal. In that case, the first step would be to reduce the fraction to simplest form, like this:

Divide Top and Bottom by Greatest Common Factor

40=40 ÷ 5=8
2525 ÷ 55

Once you have reduced the fraction, the next step in manually converting the fraction to a decimal is to use long division, like this:

Use Long Division to Convert Fraction to Decimal

 16
580
5 goes into 8 1 time -->5 
8 minus 5 leaves a remainder of 3 & add a zero -->30
5 goes into 30 6 times -->30
30 minus 30 leaves no remainder --> 0


Continue adding zeros until remainder is zero, or until the desired number of decimal places is reached. Note that the red vertical line indicates where the decimal point will be inserted.

So after simplifying 40/25 to 8/5, and then using long division on the simplified fraction, we can see that the fraction 40/25 converts to the decimal 1.6, with no repeating decimals.

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.

Adjust Calculator Width:

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".

Show/Hide Popup Keypads:

Select Show or Hide to show or hide the popup keypad icons located next to numeric entry fields. These are generally only needed for mobile devices that don't have decimal points in their numeric keypads. So if you are on a desktop, you may find the calculator to be more user-friendly and less cluttered without them.

Stick/Unstick Tools:

Select Stick or Unstick to stick or unstick the help and tools panel. Selecting "Stick" will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select "Unstick" to keep the panel in a stationary position.

If the tools panel becomes "Unstuck" on its own, try clicking "Unstick" and then "Stick" to re-stick the panel.