Multiplying fractions
A portion is a part the a whole. In the last lesson, girlfriend learned exactly how to add and subtract fractions. But that’s no the just kind of math you can do v fractions. There are times when it will be advantageous to main point fractions too.
You are watching: What is 3/4 times 10
Click with the slideshow come learn how to create a multiplication problem with fractions.

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

But your doctor just told you the you need to rgimpppa.orgced down her coffee drinking by half.

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

This might not look like a multiplication problem. However when you see the word of through fractions, it way you need to multiply.
To collection up the example, we'll just replace the word of v a multiplication sign.

Now our example is all set to it is in solved.

Unlike consistent multiplication, which offers you a larger number...

Unlike consistent multiplication, which offers you a larger number...multiplying fractions will certainly usually give you a smaller number.
So once we main point 1/2 times 2/4...

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

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

You want to put an equal amount of filling in every of these 4 cupcakes.

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

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

And now our fractions are ready to it is in multiplied.
Try This!Try setting up the multiplication problem below. Don't worry around solving the yet!
A cooking recipes calls for 2/3 that a cup that milk. You desire to cut the recipe in half.

Note: although our example says the exactly answer is 2/3 x 1/2, remember, v multiplying order does no matter. 1/2 x 2/3 would also be correct.
Solving multiplication problems with fractions
Now that us know how to collection up multiplication troubles with fractions, let's exercise solving a few. If you feel comfortable multiplying whole numbers, you're all set to multiply fractions.
Click through slideshow to learn how to multiply 2 fractions.

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

Just like we go earlier, we'll change the native of through a multiplication sign. Currently we're prepared to multiply.

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

1 times 7 equals 7, so we'll compose 7 come the appropriate of the numerators.
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When us added fractions, the denominators stayed the same. Yet when us multiply, the denominators gain multiplied too.