Dividing Fractions Calculator to Calculate Quotient of Fractions and Mixed Numbers

Dividing Fractions Calculator Sign

This calculator is handy for divisions involving fractions, mixed numbers, and whole numbers.

In all cases the fraction calculator will restate the quotient fraction in simplest form.

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

Also, if you're ever unsure if the fraction you're dividing by is greater or less than the fraction you are dividing into, be sure to check out my fraction comparison calculator.

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Dividing Fractions Calculator

Calculate quotient of fractions, including whole and 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
Dividend

Dividend:

The first term in the division equation. In the equation 1/3 ÷ 1/2, 1/3 would be the dividend.

Factor options: If the dividend is a whole number only, leave the numerator and denominator blank. If the dividend is a mixed number, enter a positive integer for the whole number, the numerator, and denominator. If the dividend is a fraction only, leave the whole number field blank.

÷
Divisor

Divisor:

The second term in the division equation. In the equation 1/3 ÷ 1/2, 1/2 would be the divisor.

Factor options: If the divisor is a whole number only, leave the numerator and denominator blank. If the divisor is a mixed number, enter a positive integer for the whole number, the numerator, and denominator. If the divisor is a fraction only, leave the whole number field blank.

Quotient:Quotient:Quotient of fractions:Quotient of fractions:

Quotient of fractions:

This is the result of dividing the entered fractions, mixed numbers, and/or whole numbers. After inverting the divisor and calculating the quotient of fractions, the dividing fractions calculator will show its work and give a detailed explanation of each step it took to arrive at the quotient.

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 divide fractions and mixed numbers.

How to Divide Fractions

While fraction division has one more step than fraction multiplication, it is still much easier than adding and subtracting fractions -- because there is no need to worry about the denominators being like or unlike.

Instead, all you need to do is invert (flip upside down) the divisor (second term in the division equation) and change the sign from division (÷) to multiplication (x), then multiply the dividend (first term in the division equation) by the inverted divisor.

To complete the fraction division, you simply multiply the numerators of each fraction to get a new numerator and then multiply the denominators of each fraction to get a new denominator -- regardless of whether the denominators are different or the same.

The following illustrates how you would divide a dividend of 1/2 by a divisor of 1/3:

Step #1: Invert the Divisor

 1÷1=1x3 
2321


Step #2: Multiply Dividend by Inverted Divisor

 1x3=3=11 
2122

How to Divide Fractions and Mixed Numbers

If you need to divide a fraction by a mixed number, you first need to convert the mixed number to an improper fraction. To do that, you simply multiply the denominator by the whole number and add that product to the value of the numerator. That result then becomes the numerator of the improper fraction, while the denominator remains the same.

To illustrate, here is how you would convert the mixed number 2 1/3 (two and one third) into an improper fraction:

Converting a Mixed Number to a Fraction

 21=3 x 2 + 1=7 
333

Once you have converted the mixed number to an improper fraction, you simply divide the fractions as normal.

How to Divide Fractions By Whole Numbers

Here again, to divide a fraction by a whole number, you first need to convert the whole number into an improper fraction. To do that you simply place the whole number over the number 1 (any non-zero number divided by 1 is equal to the number), like this:

Converting a Whole Number to a Fraction

 4=4 
1

Once you have converted the whole number into an improper fraction, you simply divide the fractions as explained earlier.

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.