Multiplying fractions

A portion is a part of a whole. In the critical lesson, friend learned just how to include and subtract fractions. Yet that’s not the only kind of mathematics you have the right to do with fractions. There space times when it will be helpful to main point fractions too.

You are watching: What is 1/4 times 3

Click through the slideshow come learn just how to write a multiplication difficulty with fractions.

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

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

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

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This may not look prefer a multiplication problem. Yet when girlfriend see the word of with 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 ready to be solved.

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

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Unlike regular multiplication, which gives you a larger number...multiplying fractions will usually offer you a smaller number.

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

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

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

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

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

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Just choose we walk before, we'll change the word of into a multiplication sign.

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And currently our fountain are prepared to it is in multiplied.

Try This!

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

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


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Note: back our example says the exactly answer is 2/3 x 1/2, remember, with multiplying bespeak does no matter. 1/2 x 2/3 would additionally be correct.

Solving multiplication troubles with fractions

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

Click v slideshow come learn just 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 prefer we walk earlier, we'll replace the word of through a multiplication sign. Now we're prepared 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, therefore we'll write 7 to the best of the numerators.

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