### Multiplying fractions

A portion is a **part** the a **whole**. In the last lesson, girlfriend learned how to add and subtract fractions. But that’s no the only kind of mathematics you have the right to do with fractions. There space times as soon as it will be helpful to multiply fractions too.

You are watching: What is 1/3 times 12

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

Let's collection up a multiplication example with fractions. Expect you drink 2/4 that a pot of coffee every morning.

But her doctor simply told you that you need to rtennis2007.orgced down her coffee drink by **half**.

Now you require to figure out how much 1/2 the 2/4 of a pot of coffee is.

This might not look like a multiplication problem. However when girlfriend see the word **of** with fractions, it method you should multiply.

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

Now our instance is prepared to be solved.

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

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

So when we main point 1/2 time 2/4...

So when we multiply 1/2 time 2/4...our answer will certainly be smaller sized than 2/4.

Here's another example. Let's to speak you have actually 3/5 the a cup of chocolate filling.

You want to put an same amount of filling in each of these 4 cupcakes.

You might say that you want to put 1/4 that 3/5 that a cup of filling in every cupcake.

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

And now our fractions are all set to it is in multiplied.

Try This!Try setting up the multiplication difficulty below. Don't worry about solving it yet!

A cooking recipes calls because that 2/3 that a cup that milk. You desire to rtennis2007.orgced the cooking recipes in half.

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

### Solving multiplication difficulties with fractions

Now that us know just how to set up multiplication problems with fractions, let's practice solving a few. If you feeling comfortable multiplying entirety numbers, you're ready to multiply fractions.

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

Let's multiply to find 1/2 the 7/10.

Just prefer we go earlier, we'll change the native **of** with a multiplication sign. Now we're prepared to multiply.

First, we'll multiply the numerators: 1 and also 7.

1 times 7 equals 7, so we'll write 7 to the right of the numerators.

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When we **added** fractions, the denominators continued to be the same. Yet when us multiply, the denominators gain multiplied too.