### Multiplying fractions

A fraction is a **part** of a **whole**. In the last lesson, you learned how to add and subtract fractions. But that’s not the only kind of math you can do with fractions. There space times as soon as it will be beneficial to multiply fractions too.

You are watching: 1/3 times -6

Click through the slideshow to learn how to write a multiplication problem with fractions.

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

But your doctor just told you the you require to cut down her coffee drinking by **half**.

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

This may not look prefer a multiplication problem. But when friend see words **of** v fractions, it means you have 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 be solved.

Unlike continual multiplication, which provides you a **larger **number...

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

So once we multiply 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 another example. Let's speak you have 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 these 4 cupcakes.

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

Just prefer we did before, we'll readjust the word **of** into a multiplication sign.

And now our fountain are prepared to it is in multiplied.

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

A recipe calls for 2/3 of a cup the milk. You desire to reduced the recipe in half.

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

### Solving multiplication troubles with fractions

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

Click through slideshow come learn exactly how to multiply two fractions.

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

Just prefer we go earlier, we'll replace the indigenous **of** with a multiplication sign. Currently we're ready to multiply.

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

1 time 7 equals 7, for this reason we'll compose 7 to the ideal of the numerators.

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