Multiplying fractions

A fraction is a part of a whole. In the last lesson, you learned how to add and subtract fractions. But that’s not the just sort of math you deserve to execute through fractions. Tbelow are times as soon as it will be advantageous to multiply fractions also.

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

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Let's put up a multiplication example through fractions. Suppose you drink 2/4 of a pot of coffee eexceptionally morning.

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But your medical professional just told you that you have to rneurosoup.orgced down your coffee drinking by half.

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Now you should figure out just how a lot 1/2 of 2/4 of a pot of coffee is.

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This may not look like a multiplication difficulty. But as soon as you view the word of with fractions, it implies you must multiply.

To set up the instance, we'll just replace the word of via a multiplication sign.

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Now our instance is ready to be solved.

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

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Unchoose consistent multiplication, which provides you a larger number...multiplying fractions will normally offer you a smaller number.

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

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

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Here's an additional instance. Let's say you have actually 3/5 of a cup of chocolate filling.

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

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

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Similar to we did before, we'll change the word of right into a multiplication authorize.

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And currently our fractions are all set to be multiplied.

Try This!

Try establishing up the multiplication difficulty below. Don't problem around fixing it yet!

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


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Note: Although our example states the correct answer is 2/3 x 1/2, remember, with multiplying order does not matter. 1/2 x 2/3 would also be correct.

Solving multiplication troubles with fractions

Now that we know just how to set up multiplication troubles via fractions, let's exercise solving a couple of. If you feel comfortable multiplying totality numbers, you're prepared to multiply fractions.

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

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

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As with we did previously, 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 times 7 equals 7, so we'll write 7 to the right of the numerators.

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When we added fractions, the denominators continued to be the same. But when we multiply, the denominators obtain multiplied as well.