This free online divide fractions calculator is handy for dividing fractions, dividing fractions and mixed numbers, and dividing fractions by whole numbers. And in all cases the calculator will restate the quotient fraction in simplest form.
Plus, unlike other online fraction calculators, this Dividing Fractions Calculator will show its work and give a detailed stepbystep 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.
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:
1  ÷  1  =  1  x  3  
2  3  2  1 
1  x  3  =  3  =  1  1  
2  1  2  2 
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:
2  1  =  3 x 2 + 1  =  7  
3  3  3 
Once you have converted the mixed number to an improper fraction, you simply divide the fractions as normal. Of course, the dividing fractions calculator will do all of this for you with the click of the "Calculate Fraction Division" button.
Here again, in order 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 nonzero number divided by 1 is equal to the number), like this:
4  =  4  
1 
Once you have converted the whole number into an improper fraction, you simply divide the fractions as explained earlier.
With that, let's use the Dividing Fractions Calculator to divide any combination of a fraction, a mixed number, or a whole number, and then simplify the result.

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