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Solving Multiplication and Division Equations

Multiplying and dividing within equations is no more difficult than addition and subtraction. Similar to addition and subtraction, if an equation contains multiplication that you need to cancel out, you use division (and vice versa.)

Starting with an equation with multiplication, let's give it a try:

X * 10 = 30

Step 1: Get X by itself, so we need to divide both sides of the equation by 10:

And there you have it! It's just as easy as solving any other problem, because you already know how to do the basics! Many times, you will end up with a fraction. For example, if the previous example was X * 10 = 3, you would divide by 10 by both sides still. On the right side of the equals sign, you would end up with 3/10!

Division works the same way.


First, be aware that the division problems can be written as a fraction, or as an expressed division symbol. That makes the following two examples identical:

X ÷ 6 = 3

In both examples, you would multiple both sides of the equal sign by 6. This gets X by itself on one side of an equals sign:

As you have seen, solving equations with multiplication and division are just as easy as equations with Addition and Subtraction!

Find another math lesson at the Math Lesson and Tutorial Center!


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