Multiplying fractions

A portion is a part the a whole. In the critical lesson, girlfriend learned how to include and subtract fractions. Yet that’s no the only kind of math you can do through fractions. There space times as soon as it will certainly be beneficial to multiply fractions too.

You are watching: What is 3/4 times 8

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

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

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

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

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

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

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Now our instance is all set to it is in 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 as soon as 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 than 2/4.

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

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You want to put 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 want to placed 1/4 of 3/5 of a cup of filling 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 currently our fractions are prepared to it is in multiplied.

Try This!

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

A recipe calls for 2/3 of a cup the milk. You desire to raufdercouch.netced the recipe in half.


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

Solving multiplication problems with fractions

Now that us know exactly how to set up multiplication troubles with fractions, let's practice solving a few. If you feel comfortable multiplying totality numbers, you're prepared to main point fractions.

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

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

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Just favor we did earlier, we'll replace the word of with a multiplication sign. Now we're prepared 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: How Many States Begin With M Es Of States In The U, 8 States That Begin With The Letter M

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