### Multiplying fractions

A portion is a **part** of a **whole**. In the last lesson, girlfriend learned how to add and subtract fractions. However that’s not the only kind of mathematics you deserve to do through fractions. There space times as soon as it will be beneficial to main point fractions too.

You are watching: 1/3 times 2/3

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

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

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

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

This might not look favor a multiplication problem. But when you see the word **of** v fractions, it method you must multiply.

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

Now our example is prepared to it is in solved.

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

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

So as soon as we multiply 1/2 time 2/4...

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

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

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

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

Just like we go before, we'll change the word **of** right into a multiplication sign.

And now our fractions are prepared to be multiplied.

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

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

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

### Solving multiplication problems with fractions

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

Click with slideshow come learn how to multiply 2 fractions.

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

Just like we walk earlier, we'll replace the indigenous **of** through a multiplication sign. Now we're prepared to multiply.

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

1 times 7 equates to 7, so we'll compose 7 come the right of the numerators.

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