### Multiplying fractions

A portion is a **part** the a **whole**. In the last lesson, girlfriend learned exactly how to add and subtract fractions. But that’s no the just kind of math you can do v fractions. There are times when it will be advantageous to main point fractions too.

You are watching: What is 3/4 times 10

Click with the slideshow come learn how to create a multiplication problem with fractions.

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

But your doctor just told you the you need to rgimpppa.orgced down her coffee drinking by **half**.

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

This might not look like a multiplication problem. However when you see the word **of** through fractions, it way you need to multiply.

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

Now our example is all set to it is in solved.

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

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

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

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

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

You want to put an equal amount of filling in every of these 4 cupcakes.

You can say the you desire to put 1/4 the 3/5 of a cup of filling in every cupcake.

Just prefer we go before, we'll readjust the native **of** right into a multiplication sign.

And now our fractions are ready to it is in multiplied.

Try This!Try setting up the multiplication problem below. Don't worry around solving the yet!

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

**Note**: although our example says the exactly answer is 2/3 x 1/2, remember, v multiplying order does no matter. 1/2 x 2/3 would also be correct.

### Solving multiplication problems with fractions

Now that us know how to collection up multiplication troubles with fractions, let's exercise solving a few. If you feel comfortable multiplying whole numbers, you're all set to multiply fractions.

Click through slideshow to learn how to multiply 2 fractions.

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

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

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

1 times 7 equals 7, so we'll compose 7 come the appropriate of the numerators.

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When us **added** fractions, the denominators stayed the same. Yet when us multiply, the denominators gain multiplied too.