### Multiplying fractions

A fraction is a **part** the a **whole**. In the last lesson, you learned exactly how to include and subtract fractions. However that’s not the just kind of math you deserve to do through fractions. There room times when it will certainly be valuable to main point fractions too.

You are watching: What is 3/4 times 4

Click with the slideshow to learn just how to create a multiplication trouble with fractions.

Let's set up a multiplication example with fractions. Intend you drink 2/4 the a pot that coffee every morning.

But her doctor just told you that you need to cut down your coffee drink by **half**.

Now you need to number out how much 1/2 that 2/4 the a pot that coffee is.

This may not look choose a multiplication problem. Yet when you see the word **of** through fractions, it way you must multiply.

To collection up the example, we'll simply replace the word **of** with a multiplication sign.

Now our instance is prepared to it is in solved.

Unlike regular multiplication, which gives you a **larger **number...

Unlike constant multiplication, which gives you a **larger** number...multiplying fractions will certainly usually provide you a **smaller** number.

So as soon as we main point 1/2 times 2/4...

So as soon as we main point 1/2 times 2/4...our answer will certainly be smaller than 2/4.

Here's an additional example. Let's speak you have actually 3/5 that a cup of cacao filling.

You want to put an same amount of pour it until it is full in every of this 4 cupcakes.

You might say that you desire to placed 1/4 that 3/5 the a cup of filling in every cupcake.

Just choose we did before, we'll adjust the indigenous **of** into a multiplication sign.

And currently our fountain are prepared to be multiplied.

Try This!Try setup up the multiplication trouble below. Don't worry around solving it yet!

A cooking recipes calls because that 2/3 of a cup that milk. You desire to rmoment-g.comced the recipe in half.

**Note**: back our example says the correct answer is 2/3 x 1/2, remember, with multiplying stimulate does not matter. 1/2 x 2/3 would likewise be correct.

### Solving multiplication troubles with fractions

Now that we know exactly how to set up multiplication difficulties with fractions, let's practice solving a few. If you feel comfortable multiplying entirety numbers, you're all set to main point fractions.

Click through slideshow to learn just how to multiply 2 fractions.

Let's main point to uncover 1/2 that 7/10.

Just like we did earlier, we'll change the native **of** through a multiplication sign. Currently we're ready to multiply.

First, we'll main point the numerators: 1 and 7.

1 times 7 amounts to 7, for this reason we'll write 7 come the appropriate of the numerators.

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When us **added** fractions, the denominators remained the same. However when us multiply, the denominators get multiplied too.