### Multiplying fractions

A portion is a **part** that a **whole**. In the last lesson, friend learned how to include and subtract fractions. Yet that’s not the only kind of mathematics you have the right to do with fractions. There are times once it will certainly be beneficial to multiply fractions too.

You are watching: 3/4 times 4 in cups

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

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

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

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

This might not look choose a multiplication problem. But when you see words **of** through fractions, it means you have to multiply.

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

Now our example is ready to be solved.

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

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

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

So when we multiply 1/2 times 2/4...our answer will be smaller than 2/4.

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

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

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

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

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

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

A recipe calls because that 2/3 that a cup that milk. You want to cut the recipe in half.

**Note**: return 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 additionally be correct.

### Solving multiplication problems with fractions

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

Click through slideshow to learn how to multiply two fractions.

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

Just like we did earlier, we'll change the word **of** v a multiplication sign. Currently we're ready to multiply.

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

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

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