Lesson on multiplying mixed numbers

multiplying mixed numbers

A blended number is a number that contains a number and also a fraction. For example, 2 1/2 is composite. Let’s learn more about multiplying mixed numbers.

Multiplying Mixed Numbers: Explained

Blended numbers can be increased by initial, converting them to improper fractions. As an example, 2 1/2 can be converted to 5/2 before the multiplication process. Below are the general regulations for increasing blended numbers:

Transform the combined numbers to incorrect fractions first.

Multiply the numerators from each fraction to each other as well as position the product on top.

Increase the denominators of each fraction by each other (the numbers on the bottom). The product is of the new fraction.

Streamline or reduce the last answer to the lowest terms feasible.

Increasing Blended Fractions and also Mixed Numbers

One approach to multiplying blended fractions is to transform them into inappropriate fractions.


3 1/8 x 2 2/3.


Transform each fraction to an improper fraction.

3 1/8 = (3 x 8) +/ 8 = 25/8.

2 2/3 = / 3 = 8/3.

Increase the numerator as well as common denominators.

25/8 x 8/3 = (25 x 8)/( 8 x 3).

In this case, typical factors go to the top and bottom and simplify by cancellations.

= 25/3.

Convert the final response to blended fractions.

25/3 = 8 1/3.


A fraction in which the numerator is smaller sized than the, like 1/3 or 2/5, is called an appropriate fraction. A fraction in which the numerator is more extensive than or equal to 5/2, 6/6or 17/3 is called an improper fraction. (In other words, a fraction worth less than 1 is a correct fraction. A fraction with a value greater than or equal to 1 is an improper fraction.).

As we have shown over, blended numbers can be composed as incorrect fractions. Similarly, incorrect fractions can be written as combined numbers.

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