### Multiplying fractions

A fraction is a **part** that a **whole**. In the last lesson, friend learned how to add and subtract fractions. However that’s not the just kind of math you have the right to do v fractions. There are times once it will certainly be valuable to multiply fractions too.

You are watching: 1 3/4 times 3

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

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

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

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

This might not look prefer a multiplication problem. But when friend see the word **of** v fractions, it method you need to multiply.

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

Now our example is prepared to be solved.

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

Unlike regular multiplication, which offers you a **larger** number...multiplying fractions will usually provide you a **smaller** number.

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

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

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

You desire to put an same amount of filling in every of this 4 cupcakes.

You could say the you desire to put 1/4 of 3/5 of a cup of pour it until it is full in every cupcake.

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

And now our fountain are ready to be multiplied.

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

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

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

### Solving multiplication problems with fractions

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

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

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

Just choose we walk earlier, we'll change the indigenous **of** with a multiplication sign. Now we're prepared to multiply.

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

1 times 7 equates to 7, therefore we'll create 7 come the right of the numerators.

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