Multiplying fractions

A fraction is a part of a whole. In the last lesson, you learned exactly how to add and subtract fractions. However that’s no the just kind of math you deserve to do through fractions. There room times as soon as it will certainly be valuable to multiply fractions too.

You are watching: 3/4 times 4 in cups

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

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

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But her doctor simply told you that 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 the 2/4 the a pot that coffee is.

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This might not look choose a multiplication problem. However when friend see words of with fractions, it method you have to multiply.

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

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Now our example is prepared to it is in solved.

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Unlike continual multiplication, which provides you a larger number...

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Unlike consistent multiplication, which gives you a larger number...multiplying fractions will certainly usually provide you a smaller number.

So once we multiply 1/2 time 2/4...

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

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

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You desire to put an equal amount of filling in each of these 4 cupcakes.

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You could say the you want to put 1/4 the 3/5 that a cup of filling in every cupcake.

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

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And now our fractions are ready to be multiplied.

Try This!

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

A cooking recipes calls because that 2/3 that a cup that milk. You want to rcharline-picon.comced the cooking recipes in half.


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

Solving multiplication troubles with fractions

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

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

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

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Just choose we walk earlier, we'll replace the indigenous of v a multiplication sign. Now we're all set to multiply.

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

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1 times 7 amounts to 7, therefore we'll create 7 come the ideal of the numerators.

See more: What Is The Sum Of 17 And A Difference Of 1? Solution: The Sum Of Two Numbers Is 17

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When us added fractions, the denominators stayed the same. However when we multiply, the denominators obtain multiplied too.