Fraction Reducer Calculator to Simplify Proper, Improper, and Mixed Fractions

Fraction Reducer Sign

This simplify-fractions calculator will reduce fractions, mixed numbers, and improper fractions to simplest form, and even show its work in a step-by-step format.

The fraction reducer includes a built-in mixed number to improper fraction calculator, and, in addition to simplifying fractions, the calculator will also convert a simplified improper fraction into a mixed number.

Also, be sure to check out my other online math calculators for Adding/Subtracting, Comparing, Multiplying, and Dividing fractions.

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Fraction Reducer

Reduce and simplify proper and improper fractions and mixed numbers, including converting simplified improper fractions to mixed numbers.

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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:Whole:Whole number (if mixed):Whole number (if mixed number):

Whole number (if mixed number):

If this is a mixed number (1-1/2, 2-2/3, etc.), enter the whole number portion of the mixed number on this line. For example, if simplifying 8-2/3, enter the 8 on this line. Otherwise, if this is not a mixed number, leave this row's field blank.

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Numer:Numerator:Numerator:Numerator:

Numerator:

Enter the top number of the fraction to be reduced and/or simplified. For example, if simplifying 8/12, enter the 8 on this line.

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Denom:Denominator:Denominator:Denominator:

Denominator:

Enter the bottom number of the fraction to be reduced and/or simplified. For example, if simplifying 8/12, enter the 12 on this line.

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GCF:GFC:Greatest common factor:Greatest common factor:

Greatest common factor:

This is the greatest common factor for the numerator and denominator you entered. If the result is one, it means that your entries do not have any factors in common other than one -- meaning no reduction or simplification is possible. But in either case, the fraction reducer calculator will still report its conclusions and show its work below this line. Plus, if the fraction is an improper fraction it will convert it into a mixed number.

Reduced:Reduced:Reduced:Reduced to simplest form:

Reduced Fraction:

This is the entered fraction reduced to its simplest form.

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.

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Help and Tools

Learn

How to simplify fractions and how to convert between mixed numbers and improper fractions.

What Does it Mean to "Reduce Fractions?"

One of the concepts that is central to working with fractions in math is that as long as you perform the same operation on both the numerator (top) and denominator (bottom), you won't change the underlying value of the fraction.

For example, if you begin the fraction 1/2, and multiply the top and bottom of the fraction by, say 5, you will not change the underlying value of the fraction no matter how many times you repeat the multiplication.

1=1 x 5=5=5 x 5=25=25 x 5=125
22 x 51010 x 55050 x 5250


125 ÷ 250 = .50 = 1/2

Now, since 125/250 is the same as 1/2, 1/2 would be the simplified version of 125/250 (or 500/1000, 2500/5000, etc.). And since working with smaller numbers is easier than working with larger numbers, it always makes sense to reduce fractions to their simplest form before working with them.

How To Simply Fractions

The easiest way to simplify fractions is to use the fraction reducer calculator on this page. Otherwise, if you would like to simplify fractions manually, there are a couple of different ways:

The Trial and Error Method

To use the trial and error method of simplifying fractions you just start by attempting to divide the numerator and denominator by a small number that you believe to a common factor to both (usually 2) and then continue to work your way up. After each successful reduction, you then need to repeat the process until the numerator and denominator have no other factors in common.

8=8 ÷ 2=4=4 ÷ 2=2
1212 ÷ 266 ÷ 23
The Greatest Common Factor Method

To use the greatest common factor method of simplifying fractions you first need to find the greatest common factor of the numerator and denominator. Next, you simply divide the numerator and denominator by their greatest common factor.

Using the fraction 8/12 from above, we find that the greatest common factor of the numerator and denominator is 4.

8=8 ÷ 4=2
1212 ÷ 43

Regardless of which manual method you choose, using them to reduce fractions can be extremely tedious and time-consuming. Therefore I would suggest you bookmark the fraction reducer calculator and use it any time you are working with fractions.

How to Convert Improper Fraction to Mixed Number

An improper fraction is a fraction that has a numerator that is greater than its denominator. Typically, when you are asked to simplify fractions, and a simplified fraction turns out to be an improper fraction, you would need one final step before the simplification was considered complete. And that would be to convert the improper fraction to a mixed number (a b/c).

To convert an improper fraction to a mixed number (the fraction reducer calculator does this for you), you first divide the numerator by the denominator. The number of full times the denominator goes into the numerator becomes the whole number, the remainder becomes the numerator, and the denominator remains unchanged.

Here is how you would convert the improper fraction 5/3 into a mixed number.

5>>>5 ÷ 3 = 1 with remainder of 2>>>12
33

How to Convert Mixed Numbers Into Improper Fractions

To convert a mixed number to an improper fraction, multiply the denominator by the whole number portion of the mixed number, add that result to numerator to get the improper numerator, and keep the denominator the same.

Here is how you would convert the mixed number 1-2/3 into an improper fraction.

12>>>(3 × 1) + 2 = 5>>>5
33

Happy simplifying!

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.