Fraction to Percent Calculator for Converting Fractions to Percentages

Fraction to Percent Calculator Sign

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

Plus, unlike other online conversion calculators, this calculator will show its work. This includes the steps it took to reduce the fractions, as well as the long division you would use for converting fractions into percentages manually.

If you are looking for a free online 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 Percent Calculator

Convert fraction to percentage, complete with a built-in long division 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
Numer:Numerator:Numerator:Numerator:

Numerator:

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

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Denom:Denominator:Denominator:Denominator:

Denominator:

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

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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 calculator will show its reduction work in a space below these result fields. 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 calculator will display the long division you would use if you were to use the manual method of converting fractions into percentages. 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.

Percent:Percent:Percent:Percent:

Percent:

This is the percentage equivalent to decimal given in the previous field. The calculator arrives at this result by multiplying the decimal equivalent by 100 -- which is the same as moving the decimal point 2 places to the right. Note that the percentage result is rounded to two decimal points.

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 percent.

Steps for converting fractions to percentages.

The steps for converting fractions to percentages vary depending on whether you are using a hand-held calculator or you are doing the conversion manually.

Using a Hand-held Calculator

If you are using a hand-held calculator, you simply divide the top number of the fraction by the bottom number of the fraction to get the decimal equivalent and then multiply that result by 100.

For example, if you wish to convert 9/12 into a percentage, you would plug 9 ÷ 12 into the calculator, which would give the quotient 0.75. If you then multiply 0.75 by 100, the result would be equal to 75%.

Using a Manual Calculations on Paper

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

Using the fraction used in the previous example, the first step would be to reduce 9/12 to simplest form, like this:

Divide Top and Bottom by Greatest Common Factor

9=9 ÷ 3=3
1212 ÷ 34

Once you have reduced the fraction, the next step is to convert the fraction to a decimal using long division, like this:

Use Long Division to Convert Fraction to Percent

 075   
4300000
4 goes into 3 0 times -->0     
Add zero -->30    
4 goes into 30 7 times -->28    
30 − 28 = 2 & add zero --> 20   
4 goes into 20 5 times evenly --> 20   
Remainder is 0, done -->  00  

Continue adding zeros until the remainder is zero, or until the desired number of decimal places is reached, then simply move the decimal point 2 places to the right to convert the decimal to a percentage. Note that the red vertical line indicates where the decimal point will initially be inserted, whereas the blue vertical line indicates where you will move the decimal point to in order to complete the fraction to percent conversion.

So after simplifying 9/12 to 3/4, and then using long division on the simplified fraction, we can see that the fraction 9/12 converts to 75%.

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.