### Multiplying fractions

A fraction is a **part** that a **whole**. In the critical lesson, you learned exactly how to include and subtract fractions. But that’s no the just kind of mathematics you deserve to do with fractions. There room times when it will certainly be useful to main point fractions too.

You are watching: What is 3 4 times 1 4

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

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

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

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

This might not look prefer a multiplication problem. But when girlfriend see the word **of** through fractions, it method you should multiply.

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

Now our instance is all set to be solved.

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

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

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

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

Here's an additional example. Let's to speak you have actually 3/5 the a cup of coco filling.

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

You could say the you want to placed 1/4 the 3/5 of a cup of filling in each cupcake.

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

And currently our fractions are ready to be multiplied.

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

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

**Note**: return our example says the exactly answer is 2/3 x 1/2, remember, with multiplying bespeak does not matter. 1/2 x 2/3 would also be correct.

### Solving multiplication difficulties with fractions

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

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

Let's main point to find 1/2 the 7/10.

Just choose we go earlier, we'll replace the native **of** through a multiplication sign. Now we're ready to multiply.

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

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

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