Multiplying fractions

A portion is a part of a whole. In the critical lesson, friend learned exactly how to include and subtract fractions. But that’s no the only kind of math you can do through fractions. There space times when it will be helpful to main point fractions too.

You are watching: What is 2 times 1/2

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

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

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But your doctor simply told you that you require to cut down your coffee drinking by half.

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

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This might not look like a multiplication problem. But when you see the word of through fractions, it method you must multiply.

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

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Now our instance is prepared to it is in solved.

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

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

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

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So as soon as we main point 1/2 times 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 3/5 of a cup of chocolate filling.

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

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

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Just prefer we did before, we'll adjust the word of right into a multiplication sign.

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And now our fountain are ready to be multiplied.

Try This!

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

A recipe calls for 2/3 of a cup the milk. You want to cut the recipe in half.


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

Solving multiplication difficulties with fractions

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

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

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

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Just favor we walk earlier, we'll replace the indigenous of through a multiplication sign. Currently we're prepared to multiply.

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

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1 time 7 equals 7, therefore we'll compose 7 to the best of the numerators.

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When we added fractions, the denominators stayed the same. Yet when us multiply, the denominators gain multiplied too.