Division of common fractions explanation and examples

Having learned to multiply ordinary fractions, it is easy to learn how to divide them. As usual, let us consider what cases we may encounter when calculating examples for the division of fractions .

Fractional fraction

To divide one ordinary fraction by another, non-zero, you need:

• multiply the numerator of the first fraction by the denominator of the second fraction and write the product into the numerator of the new fraction;
• multiply the denominator of the first fraction by the numerator of the second fraction and write the product into the denominator of the new fraction.

In other words, the division of fractions is reduced to multiplication. Therefore , the division rules for fractions can be written as follows.

To divide one fraction by another, the dividend (the first fraction) must be multiplied by the reciprocal fraction of the divisor.

Example.

How to split divided by number

To divide a fraction by a natural number , you can use the following method.

We represent a natural number as an irregular fraction with a numerator equal to the number itself, and the denominator equal to one.

Then we produce the division according to the rule of dividing a fraction into a fraction.

Division of mixed numbers

When dividing mixed numbers, you must represent the numbers as irregular fractions, and then divide them into each other according to the rule of dividing the fraction into fractions.

Example.