Multiplying fractions step by step

Multiplying fractions is a relatively simple mathematical operation. It is worth distinguishing between multiplying a fraction by an integer and multiplying a fraction by a fraction. Let's see how you can do it easily!

These things you need to know before multiplying fractions

To help you understand the multiplication of fractions, I suggest first of all that you repeat the parts of the fractures!

Now let's go step by step through the multiplication of fractions.

Fraction multiplied by an integer

Multiplying a fraction by an integer is very simple. I'll also show you a trick, because often it's not always clear how much more you have to count afterwards.

Let's first look at how to multiply fractions by integers:

Multiplying a fraction by an integer is done by multiplying the numerator by the integer, leaving the denominator unchanged.

This is the basis. If you remember this, you will be able to multiply every fraction by a whole number.

Let's look at an example:

The example above is very simple, but you may end up with simplify you also need.

When multiplying fractions, you sometimes get some pretty ugly fractions. However, there is a trick that helps to avoid this a bit.

Let's look at another example:

This should also be simplified:

And finally we've come to the trick!

You can multiply a fraction by an integer by leaving the numerator of the fraction unchanged and dividing the denominator by the integer.

Important: You can only use this if the denominator is divisible by the integer.

Let's look at multiplying fractions using the above trick:

As you can see, the difference here is that we could skip the simplification, so you save time and get the result in a simpler form straight away.

Multiplying a fraction by a fraction

Multiplying fractions by fractions is not difficult, you just need to remember a simple rule:

Multiply a fraction by a fraction by multiplying the numerator by the numerator and the denominator by the denominator.

Let's look at it through an example:

Multiplying a fraction by a fraction is just that. If you can, simplify, if you can't, there's nothing else to do.