Dividing Fractions Solver

As division of whole numbers shows how often one integer is contained in another integer, to division of fraction shows how often one fraction is contained in another. If the numerator of any fraction be made a denominator, and the denominator a numerator, the fraction of made is called the reciprocal of the former. Thus 4 / 3 is the reciprocal of 3 / 4.

In division * as the divisor is to the dividend, of is a unit of the quotient (both in whole numbers and fraction).

Dividing fractions solver – Steps and methods:

To dividing algebraic fraction, follow these steps:

Write the given fractions.
Change the division sign to a multiplication sign and invert the second fraction.
Write the given fraction and cancel any common factors.
Multiply the numerators.
Multiply the denominators.

Dividing fractions solver – Methods:

Dividing common fraction
Dividing a fraction and a whole number
Dividing mixed number


Dividing fractions solver – Three methods and example problem:

Dividing common fractions:

To divide common fraction, follow these steps:

Invert the divisor.
Then multiply the numerator by the numerator and the denominator by the denominator.
Reduce to lowest terms when possible.

Example:

Dividing the fractions using fraction solver

(5 / 6) / (3 / 4)

Solution:

(5 / 6) / (3 / 4) (divisor)

= (5 /6) * (4 / 3)

= (5 * 4) / (6 * 3)

= 20 / 18

= 10 / 9

Dividing a fractions and a whole number:

To divide a fraction and a whole number, follow these steps:

Change the whole number to a fraction by the placing the whole number over one.
Invert the divisor.
Then multiply the numerator by the numerator and the denominator by the denominator.
Reduce to lowest terms when possible.

Example:

Dividing the fractions using fraction solver

16 / (5 / 8)

Solution:

16 / (5 / 8)

= (16 / 1) / (5 / 8)

= (16 / 1) * (8 / 5)

= (16 * 8) / (1 * 5)

= 128 / 5

= 25 3/5

Dividing mixed number fractions:

To divide mixed numbers, follow these steps:

Change the mixed number to an improper fraction
Invert the divisor.
Then multiply the numerator by the numerator and the denominator by the denominator.
Reduce to lowest terms when possible.

Example:

Dividing the fractions using fraction solver

(2 7/8) / (4 / 5)

Solution:

(2 7/8) / (4 / 5)

= (2 7/8) = ((2 * 8 + 7) / 8) = 23 / 5

= (23 / 8) / (4 / 5)

= (23 / 8) * (5 / 4)

= (23 * 5) / (8 * 4)

= (115 / 32)

= 3 19/ 32.