### Multiplying fractions

A fraction is a **part** of a **whole**. In the critical lesson, friend learned exactly how to include and subtract fractions. Yet that’s not the only kind of math you deserve to do with fractions. There are times when it will be useful to multiply fractions too.

You are watching: 6 times 1/3

Click v the slideshow come learn how to compose a multiplication trouble with fractions.

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

But your doctor simply told you the you need to reduced down her coffee drinking by **half**.

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

This may not look like a multiplication problem. Yet when girlfriend see words **of** through fractions, it way you have to multiply.

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

Now our example is ready to be solved.

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

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

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

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

Here's one more example. Let's speak you have actually 3/5 of a cup of cacao filling.

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

You could say the you want to placed 1/4 the 3/5 the a cup of pour it until it is full in each cupcake.

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

And now our fractions are all set to be multiplied.

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

A cooking recipes calls for 2/3 that a cup the milk. You want to reduced the recipe in half.

**Note**: return 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 also be correct.

### Solving multiplication difficulties with fractions

Now that we know how to collection up multiplication troubles with fractions, let's practice solving a few. If you feeling comfortable multiplying totality numbers, you're ready to multiply fractions.

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

Let's multiply to discover 1/2 of 7/10.

Just prefer we walk earlier, we'll replace the word **of** v a multiplication sign. Now we're ready to multiply.

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

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

See more: Hotel Inn Of The Dove Egg Harbor Township Nj, Inn Of The Dove, Egg Harbor Twp

When us **added** fractions, the denominators remained the same. But when we multiply, the denominators acquire multiplied too.