Multiplying fractions

A portion is a part of a whole. In the last lesson, girlfriend learned how to include and subtract fractions. Yet that’s not the just kind of mathematics you deserve to do with fractions. There are times as soon as it will certainly be advantageous to multiply fractions too.

You are watching: What is 3/4 times 8

Click through the slideshow to learn exactly how to create a multiplication problem with fractions.

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

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

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

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This might not look favor a multiplication problem. Yet when friend see the word of with fractions, it means you need to multiply.

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

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Now our instance is prepared to it is in solved.

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

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

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

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

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Here's an additional example. Let's say you have actually 3/5 that a cup of cacao filling.

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You desire to placed an same amount of pour it until it is full in each of this 4 cupcakes.

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

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Just like we go before, we'll readjust the word of right 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 trouble below. Don't worry around solving it yet!

A cooking recipes calls for 2/3 of a cup the milk. You want to rcg-tower.comced the cooking recipes in half.


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

Solving multiplication problems with fractions

Now that us know how to set up multiplication troubles with fractions, let's exercise solving a few. If you feel comfortable multiplying entirety numbers, you're all set to multiply fractions.

Click with slideshow come learn exactly how to multiply 2 fractions.

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

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Just choose we go earlier, we'll change the native of v a multiplication sign. Currently we're ready to multiply.

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

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1 time 7 amounts to 7, therefore we'll write 7 to the best of the numerators.

See more: What Kind Of Bond Is Created By A Weak Electrical Attraction Between Polar Molecules?

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