### Multiplying fractions

A portion is a **part** that a **whole**. In the last lesson, friend learned exactly how to add and subtract fractions. However that’s no the only kind of math you have the right to do with fractions. There are times as soon as it will certainly be advantageous to multiply fractions too.

You are watching: What is 3/4 times 4

Click v the slideshow to learn exactly how to write a multiplication trouble with fractions.

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

But your doctor just told you the you require to rrewildtv.comced down her coffee drinking by **half**.

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

This might not look favor a multiplication problem. However when friend see words **of** through fractions, it method you need to multiply.

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

Now our instance is all set to be solved.

Unlike continual multiplication, which offers you a **larger **number...

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

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

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

Here's an additional example. Let's say you have actually 3/5 of a cup of coco filling.

You want to placed an same amount of filling in each of this 4 cupcakes.

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

Just favor we did before, we'll change the indigenous **of** right into a multiplication sign.

And currently our fountain are prepared to be multiplied.

Try This!Try setting up the multiplication trouble below. Don't worry around solving that yet!

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

**Note**: return our example says the correct answer is 2/3 x 1/2, remember, through multiplying order does not matter. 1/2 x 2/3 would likewise be correct.

### Solving multiplication troubles with fractions

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

Click with slideshow come learn exactly how to multiply two fractions.

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

Just prefer we did earlier, we'll replace the word **of** with a multiplication sign. Currently we're prepared to multiply.

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

1 times 7 equals 7, therefore we'll write 7 come the appropriate 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.