Multiplying fractions

A portion is a part that a whole. In the last lesson, girlfriend learned just how to include and subtract fractions. Yet that’s no the only kind of math you deserve to do with fractions. There room times as soon as it will be useful to multiply fractions too.

You are watching: Two thirds divided by three fourths

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

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

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But your doctor just told you the you require to rdearteassociazione.orgced down your coffee drinking by half.

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

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This might not look like a multiplication problem. However when girlfriend see words of with fractions, it way you have to multiply.

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

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Now our example is prepared to it is in solved.

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Unlike regular 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 multiply 1/2 time 2/4...

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So when we multiply 1/2 time 2/4...our answer will be smaller than 2/4.

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Here's an additional example. Let's to speak you have actually 3/5 that a cup of chocolate filling.

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

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

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Just like we walk before, we'll readjust the native of right into a multiplication sign.

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And currently our fractions are ready to be multiplied.

Try This!

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

A cooking recipes calls because that 2/3 of a cup that milk. You want to rdearteassociazione.orgced the cooking recipes in half.


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

Solving multiplication troubles with fractions

Now that we know how to collection up multiplication difficulties with fractions, let's practice solving a few. If you feeling comfortable multiplying whole numbers, you're prepared to multiply fractions.

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

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

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Just favor we go earlier, we'll replace the native of through a multiplication sign. Now we're ready to multiply.

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

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1 times 7 equals 7, so we'll compose 7 to the best of the numerators.

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When we added fractions, the denominators continued to be the same. Yet when we multiply, the denominators gain multiplied too.