Multiplying fractions

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

You are watching: What divided by 2 equals 9

Click through the slideshow to learn just how to write a multiplication trouble with fractions.

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Let's set up a multiplication instance with fractions. Intend you drink 2/4 that a pot of 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 how much 1/2 of 2/4 that a pot of coffee is.

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This may not look like a multiplication problem. Yet when girlfriend see words of v fractions, it method you need to multiply.

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

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Now our instance is ready to it is in solved.

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

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

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

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

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Here's another example. Let's say you have 3/5 that a cup of coco filling.

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

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

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

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And currently our fractions are prepared to it is in multiplied.

Try This!

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

A cooking recipes calls because that 2/3 of a cup the milk. You want to cut the recipe in half.


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Note: although our instance says the correct answer is 2/3 x 1/2, remember, with multiplying stimulate does no matter. 1/2 x 2/3 would likewise be correct.

Solving multiplication difficulties with fractions

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

Click with slideshow come learn how to multiply 2 fractions.

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

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

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

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1 time 7 equates to 7, therefore we'll compose 7 come the appropriate of the numerators.

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