Multiplying Fractions Calculator Including Whole and Mixed Numbers

Multiplying Fractions Calculator Sign

This calculator is handy for multiplying fractions and mixed numbers, and for multiplying fractions by whole numbers.

And in all cases the calculator will restate the product fraction in simplest form.

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

Also, be sure to check out my other online math calculators for help with fraction division and comparison.

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Multiplying Fractions Calculator

Calculate product 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
Multiplicand

Multiplicand:

The first factor in a multiplication. In the equation 1/3 x 1/2, 1/3 would be the multiplicand.

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

X
Multiplier

Multiplier:

The second factor in a multiplication. In the equation 1/3 x 1/2, 1/2 would be the multiplier.

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

Product:Product:Product of fractions:Product of fractions:

Product of fractions:

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

Show Step Explanations

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 multiply fractions and mixed numbers.

How to Multiply Fractions

Multiplication is the easiest of all operations involving fractions -- because there is no need to worry about the denominators being like or unlike as in the case of adding and subtracting fractions.

Instead, all you need to do is 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, like this:

Multiply Numerators and Denominators

 1x1=1 
3412

Multiplying Fractions and Mixed Numbers

If you need to multiply 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 multiply the numerators and denominators as usual.

Multiplying Fractions By Whole Numbers

Here again, to multiply 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 multiply the numerators and denominators as usual.

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.