Multiplying fractions

A portion is a part of a whole. In the critical lesson, you learned exactly how to include and subtract fractions. But that’s not the just kind of mathematics you deserve to do through fractions. There are times once it will certainly be useful to multiply fractions too.

You are watching: 2/3 times 9

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

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Let's collection 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 drink by half.

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

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This might not look favor a multiplication problem. Yet when girlfriend see words of with fractions, it means you must multiply.

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

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Now our instance is prepared to be solved.

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

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Unlike continuous multiplication, which provides you a larger number...multiplying fractions will usually provide you a smaller number.

So once we main point 1/2 time 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 another example. Let's to speak you have actually 3/5 of a cup of coco filling.

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You want to placed an equal amount of pour it until it is full in every of these 4 cupcakes.

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

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Just choose we go before, we'll adjust the indigenous of right into a multiplication sign.

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And now our fountain are prepared to be multiplied.

Try This!

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

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


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Note: return our example says the correct answer is 2/3 x 1/2, remember, through multiplying bespeak does no matter. 1/2 x 2/3 would likewise be correct.

Solving multiplication difficulties with fractions

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

Click v slideshow come learn how to multiply two fractions.

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

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Just prefer we did earlier, we'll replace the indigenous of v 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 times 7 equates to 7, so we'll create 7 come the ideal of the numerators.

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