Multiplying fractions

A portion is a part that a whole. In the critical lesson, girlfriend learned how to add and subtract fractions. Yet that’s not the only kind of mathematics you can do v fractions. There are times when it will be valuable to multiply fractions too.

You are watching: 4 times 1/2

Click through the slideshow come learn exactly how to write a multiplication problem with fractions.

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Let's collection up a multiplication example with fractions. Mean 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 cut down your coffee drink by half.

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

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This may not look favor a multiplication problem. However when you see the word of through fractions, it way you should multiply.

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

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Now our example is ready to it is in solved.

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

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

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

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

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

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

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

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Just choose we walk before, we'll adjust the word 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 difficulty below. Don't worry around solving the yet!

A recipe calls for 2/3 of a cup of milk. You desire to reduced the recipe in half.


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

Solving multiplication troubles with fractions

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

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

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Let's main point to find 1/2 the 7/10.

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Just favor we go earlier, we'll change the word of v 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 time 7 amounts to 7, therefore we'll create 7 to the appropriate of the numerators.

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When we added fractions, the denominators stayed the same. However when we multiply, the denominators acquire multiplied too.