Multiplying fractions

A fraction is a part the a whole. In the last lesson, you learned exactly how to add and subtract fractions. Yet that’s no the just kind of math you have the right to do with fractions. There room times once it will certainly be helpful to multiply fractions too.

You are watching: What is 1/3 times 6

Click through the slideshow come learn how to compose a multiplication difficulty with fractions.

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

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But her doctor just told you the you need to cut down her coffee drinking by half.

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

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This might not look choose a multiplication problem. However when girlfriend see words of v fractions, it method you must multiply.

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

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Now our instance is ready to it is in solved.

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

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

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

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

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Here's another example. Let's to speak you have actually 3/5 the a cup of cacao filling.

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You desire to placed an equal amount of filling in every of these 4 cupcakes.

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

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

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And currently our fractions are ready to be multiplied.

Try This!

Try setting up the multiplication problem below. Don't worry around solving it yet!

A cooking recipes calls because that 2/3 that a cup that milk. You desire to rcivicpride-kusatsu.netced the cooking recipes in half.


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Note: return our example says the correct 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 troubles with fractions, let's practice solving a few. If you feel comfortable multiplying totality numbers, you're all set to main point fractions.

Click v slideshow to learn just how to multiply two fractions.

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

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

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

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1 times 7 equates to 7, so we'll create 7 come the best of the numerators.

See more: Is Melting Metal A Chemical Change Rusting Of Iron Or Melting Of Iron?

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When we added fractions, the denominators continued to be the same. Yet when we multiply, the denominators acquire multiplied too.