Before you are a guide that is intended to help you learn how to multiply fractions by fractions. Here you will find a full guide on how to complete the whole multiply fractions process very easily using a lot of examples!
This is an operation with fractions that is much easier than adding and subtracting fractions. This is a fun mathematical operation that almost everyone does with a certain amount of pleasure.
Below on this page, you will be able to see step-by-step explanations of how to multiply fractions by fractions. In addition, below you can see solved examples of this topic in written and video form. We suggest that you also watch the video format because the tasks there are presented more naturally, starting from the simplest and moving along the path of solving a problem with the multiplication of fractions.
Guide To Multiply Fractions By Fractions
When multiplying fractions with fractions, the following steps should be followed:
- In the common fraction in the numerator, write the product of the numerators of the individual fractions that you are multiplying
- In the common fraction in the denominator, write the product of the denominators of the individual fractions that you are multiplying
- Calculate the products in the numerator and denominator of the solution
Example 1: Calculate the result obtained after multiplying the fractions:
After presenting the products in the numerator and denominator of the solution, the procedure continues in this way:
Both the numerator and denominator of the solution are divisible by 2, so the solution can be simplified to a simpler form. To transform the fraction into the correct form, we proceed as follows:
In the last entry above, however, we notice that the numerator is greater than its denominator (the fraction is improper), so we convert it to a mixed number, containing a whole number and a fractional part. The final conversion looks like this:
The video presented below contains more examples of multiplying fractions by fractions. Be sure to look at the examples presented in it:
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