Multiplying fractions

A portion is a part that a whole. In the critical lesson, you learned how to include and subtract fractions. Yet that’s no the just kind of math you can do with fractions. There are times as soon as it will be advantageous to main point fractions too.

You are watching: 4/5 times 4/5

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

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

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But her doctor just told you that you require to reduced down her coffee drinking by half.

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

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This might not look like a multiplication problem. Yet when girlfriend see words of through fractions, it method you must multiply.

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

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Now our example is all set to be solved.

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

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

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

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So when we main point 1/2 times 2/4...our answer will be smaller than 2/4.

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Here's one more example. Let's speak you have actually 3/5 that a cup of cacao filling.

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

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You might say that you want to placed 1/4 the 3/5 that a cup of filling in each cupcake.

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

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And now our fractions are all set to be multiplied.

Try This!

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

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


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Note: although our example says the exactly answer is 2/3 x 1/2, remember, v multiplying bespeak does not matter. 1/2 x 2/3 would also be correct.

Solving multiplication difficulties with fractions

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

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

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

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Just prefer we walk earlier, we'll replace the indigenous of v a multiplication sign. Now we're ready to multiply.

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

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1 time 7 amounts to 7, so we'll compose 7 to the right of the numerators.

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