Multiplying fractions

A fraction is a part of a whole. In the critical lesson, friend learned exactly how to include and subtract fractions. Yet that’s not the only kind of math you deserve to do with fractions. There are times when it will be useful to multiply fractions too.

You are watching: 6 times 1/3

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

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

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

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

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This may not look like a multiplication problem. Yet when girlfriend see words of through fractions, it way you have to multiply.

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

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Now our example is ready to be solved.

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Unlike regular multiplication, which offers you a larger number...

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

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

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So as soon as we main point 1/2 times 2/4...our answer will be smaller sized than 2/4.

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

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

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You could say the you want to placed 1/4 the 3/5 the a cup of pour it until it is full in each cupcake.

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Just prefer we go before, we'll adjust the indigenous of into a multiplication sign.

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And now our fractions are all set to be multiplied.

Try This!

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

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


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

Solving multiplication difficulties with fractions

Now that we know how to collection up multiplication troubles with fractions, let's practice solving a few. If you feeling comfortable multiplying totality numbers, you're ready to multiply fractions.

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

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

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Just prefer we walk earlier, we'll replace the word of v a multiplication sign. Now we're ready to multiply.

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

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1 times 7 equals 7, therefore we'll write 7 to the right of the numerators.

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